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Numbers whose prime factors all divide the number more than once
144000 is a powerful number. Every exponent in its prime factorization is larger than 1. It is the product of a square and a cube. A powerful number is a positive
Powerful_number
Positive integers that have a property about their divisors
In elementary number theory, a highly powerful number is a positive integer that satisfies a property introduced by the Indo-Canadian mathematician Mathukumalli
Highly_powerful_number
Integer having a non-trivial divisor
factors of a number are repeated it is called a powerful number (too, all perfect powers are powerful numbers). If none of its prime factors are repeated
Composite_number
Numbers with special prime factorization
An Achilles number is a number that is powerful but not a perfect power. A positive integer n is a powerful number if, for every prime factor p of n, p2
Achilles_number
Natural number
natural number following 342 and preceding 344. 343 factorization is 73 (7 × 7 × 7) meaning it is a cubic number. It is also a powerful number, and an
343_(number)
2013 film by Sam Raimi
Oz the Great and Powerful is a 2013 American fantasy adventure film directed by Sam Raimi and written by David Lindsay-Abaire and Mitchell Kapner, from
Oz_the_Great_and_Powerful
Natural number
it is the product of 8 and 9. It is the smallest Achilles number, as it is a powerful number that is not itself a power. 72 is the sum of four consecutive
72_(number)
Natural number
Harshad number in bases 2, 3, 4, 6, 7, 9, 10, 11, 12, 13 and 16. 108 is a powerful number but not a perfect power, making it an Achilles number. 108 is
108_(number)
1989 studio album by the Fabulous Thunderbirds
"Mistake Number 1" (David Porter, T. Thomas) - 4:53 "One Night Stand" (Jerry Lynn Williams) - 4:59 "Emergency" (Kim Wilson) - 3:35 "Powerful Stuff" (Michael
Powerful_Stuff
Natural number
the sixth number such as the binomial coefficient is a perfect square. 9801 is a part of one of the first few pairs of consecutive powerful numbers with
9801_(number)
Natural number
prime numbers 2 and 3, 288 is a 3-smooth number. This factorization also makes it a highly powerful number, a number with a record-setting value of the product
288_(number)
Natural number
smallest number that can be represented as a sum of any number of distinct positive cubes in more than one way. It is a highly powerful number: the product
216_(number)
Video game series
Powerful Pro Yakyū, previously known as Jikkyō Powerful Pro Yakyū in Japanese, commonly abbreviated as Power Pro and marketed internationally as Power
Power_Pros
This is a list of countries by number of military and paramilitary personnel. It includes any government-sponsored soldiers used to further the domestic
List of countries by number of military and paramilitary personnel
List_of_countries_by_number_of_military_and_paramilitary_personnel
Natural number
it a compositorial. As a cubic perfect power, it is also a highly powerful number that has a record value (18) between the product of the exponents (3
1728_(number)
This list of most powerful production cars in the world is limited to unmodified production cars which meet the eligibility criteria below. All entries
List of production cars by power output
List_of_production_cars_by_power_output
Lucky number Powerful number Primeval number Palindromic number Telephone number Triangular square number Harmonic divisor number Sphenic number Smith
List of recreational number theory topics
List_of_recreational_number_theory_topics
American television writer and producer
working mainly in television. He has often been described as "the most powerful man" in modern television and signed the largest development deal in television
Ryan_Murphy_(producer)
SD Powerful is a Twin Tractor Unit Tug operated by Serco Marine Services in support of the United Kingdom's Naval Service. The tug, built in 1985, was
SD_Powerful
Number divisible only by 1 and itself
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that
Prime_number
British lead ship of Powerful-class
HMS Powerful was the lead ship of her class of two protected cruisers built for the Royal Navy (RN) in the 1890s. She was initially assigned to the China
HMS_Powerful_(1895)
many Cunningham numbers that are powerful numbers, since if m is a Cunningham number C−(b, n) that is a powerful number (such as 8), then so is 4 m ( m
Cunningham_number
2024 South Korean television series
to October 30, 2024. It depicts the story of the nation's last-ranked powerful squad in the county and the elite Violent Crime Team leader and meet to
Seoul_Busters
pro-p-groups, the concept of powerful p-groups plays an important role. They were introduced in (Lubotzky & Mann 1987), where a number of applications are given
Powerful_p-group
English musician and actor (1947–2016)
Blackstar, released two days before his death in 2016, was analysed as a powerful farewell to his fans. During his lifetime, his record sales were estimated
David_Bowie
Number without repeated prime factors
{\displaystyle n} can be represented in a unique way as the product of a powerful number (that is an integer that is divisible by the square of every prime
Square-free_integer
Natural number
natural number following 199 and preceding 201. 200 is an abundant number, as 265, the sum of its proper divisors, is greater than itself. The number appears
200_(number)
Australian singer and actress (born 1968)
permanent display. In March 2010, researchers declared Minogue as the "most powerful celebrity in Britain". The study examined how marketers identify celebrity
Kylie_Minogue
Natural number whose divisor sum is greater than that of any smaller number
ninth highly abundant number, these are the only highly abundant numbers that are not abundant. 7200 is the largest powerful number that is also highly
Highly_abundant_number
Canadian singer (born 1994)
people in the world in 2011, and Forbes listed him among the top 10 most powerful celebrities from 2011 to 2013. Billboard ranked him the eighth-greatest
Justin_Bieber
Class of British protected cruisers
The Powerful class were a pair of first-class protected cruisers built for the Royal Navy (RN) in the 1890s, designed to hunt down enemy commerce raiders
Powerful-class_cruiser
How many times a number is divisible by 2
A singly even number cannot be a powerful number. It cannot be represented as a difference of two squares. However, a singly even number can be represented
Singly_and_doubly_even
American singer, songwriter and actress (born 1986)
appeared on their list of the World's Most Powerful Women from 2010 to 2014, and topped their list of the Most Powerful Musicians in 2013. She was named one
Lady_Gaga
itself is the most powerful earthquake ever recorded in Asia, the strongest of the 21st century, and the second- or third-most powerful globally since modern
2004 Indian Ocean earthquake and tsunami
2004_Indian_Ocean_earthquake_and_tsunami
Mexican drug lord incarcerated in a US federal prison (born 1957)
for the deaths of over 34,000 people, and was considered to be the most powerful drug trafficker in the world until he was extradited to the United States
El_Chapo
American musician (1964–2017)
extensive songwriting history, a nearly four-octave vocal range, and a powerful vocal belting technique. Cornell released four solo studio albums, Euphoria
Chris_Cornell
Natural number
dictionary. 2000 (two thousand) is a natural number following 1999 and preceding 2001. 2000 is: the highest number expressible using only two unmodified characters
2000_(number)
1998 single by Trisha Yearwood
because of her "incredible voice and tons of personality." "Powerful" debuted at number seventy on the U.S. Billboard Hot Country Singles & Tracks for
Powerful_Thing
British annual listing for comedy, drama and radio (2003–2005)
Radio Times's Most Powerful People was a series of listings created by the British weekly magazine Radio Times from January 2003 to June 2005. The lists
Radio Times's Most Powerful People
Radio_Times's_Most_Powerful_People
Category 5 Pacific hurricane in 2026
Hurricane Lowell was a long-lived and very powerful tropical cyclone that impacted the western Hawaiian Islands, making a direct hit on Ni'ihau and Kauaʻi
Hurricane_Lowell
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
Italian-American chef and television personality
as one of the Global 100 in Hospitality, a list featuring the 100 Most Powerful People in Global Hospitality. De Laurentiis was born on August 22, 1970
Giada_De_Laurentiis
1988 studio album by Soundgarden
the idea being that if 666 is such a powerful number, then the surrounding numbers must be equally as powerful. The album's closing track, "One Minute
Ultramega_OK
American singer (1943–1970)
iconic and successful rock performers of her era, she was noted for her powerful mezzo-soprano vocals and her stage presence. In 1967, she rose to prominence
Janis_Joplin
Characterization of how many integers are prime
log e ( x ) {\displaystyle \log _{e}(x)} . In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of prime numbers among
Prime_number_theorem
Indian-American business executive (born 1955)
among the world's 100 most powerful women. In 2014, she was ranked at number 13 on the Forbes list, and the second most powerful woman on the Fortune list
Indra_Nooyi
Ranking of countries by travel freedom
the index as the least powerful passport in the world, with its nationals only able to visit 27 destinations visa-free. A number of Asian and European
Henley_Passport_Index
Danish cargo ship attempted piracy 2008
MV Powerful is a Danish-flagged cargo ship owned by Excel Maritime Carriers Ltd. of Greece. It was attacked with the intention of hijack by Somali pirates
MV_Powerful
Numbers obtained by adding the two previous ones
month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive
Fibonacci_sequence
Hacker Group
Powerful Greek Army or by the abbreviation "PGA" is a hacker group founded in 2016. The team has carried out numerous cyberattacks both in Greece and worldwide
Powerful_Greek_Army
2019 studio album by Lil' Kim
2019. It's a powerful number for me. (...) I'm very spiritual and one day God was talking to me and I was like '7 is my favorite number' and He was like
9_(Lil'_Kim_album)
History of Apple's current Mac operating system
expected that developers would port their software to the considerably more powerful OPENSTEP libraries once they learned of its power and flexibility. Instead
MacOS_version_history
American singer-songwriter and TV personality (born 1982)
Stronger Tour, Sophie Sinclair of Hit The Floor said "Kelly's strong and powerful voice was flawless throughout the night, and some may even say she sounds
Kelly_Clarkson
Topics referred to by the same term
Asteraceae Achilles' heel, a weakness or vulnerability Achilles number, a powerful number which is not a perfect power Achilleos, a surname †Archicebus
Achilles_(disambiguation)
Number used for counting
natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another
Natural_number
Barbadian singer (born 1988)
2014, 2016, and 2017, and featured her on its list of the Top 100 Most Powerful Women of 2019. Active on social media, she ranked atop Forbes' 2012 list
Rihanna
1980 book by Seymour Papert
Mindstorms: Children, Computers, and Powerful Ideas is a book by computer scientist Seymour Papert, in which he argues for the benefits of teaching computer
Mindstorms_(book)
American actress and producer (born 1990)
world with earnings of $34 million and named her as the most powerful actress, ranking at number 12 on the magazine's Celebrity 100 list. She appeared on
Jennifer_Lawrence
Natural number
base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number. 900 is also: In Greek number symbols, the sign Sampi
900_(number)
American actress (born 1983)
comedy Friends with Benefits (2011), the fantasy film Oz the Great and Powerful (2013) as the Wicked Witch of the West, the comedies Bad Moms (2016) and
Mila_Kunis
American rock singer-songwriter (born 1962)
Fame in 2009. In 2012, he ranked number 50 among Billboard magazine's "Power 100", a ranking of "The Most Powerful and Influential People in the Music
Jon_Bon_Jovi
factorials from 1 onward is approximately 1.6111 and is transcendental. A "powerful number" is a positive integer for which every prime appearing in its prime
List_of_sums_of_reciprocals
Centauri, Minbari and Vorlons; and several dozen less powerful ones. A number of the less powerful races make up the League of Non-Aligned Worlds, which
List_of_Babylon_5_characters
Number that is not a ratio of integers
Geometrically, when the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning
Irrational_number
American actress and media mogul (born 1954)
quarter-century. Ladies' Home Journal also ranked Winfrey number one in their list of the most powerful women in America and then Senator Barack Obama in 2007
Oprah_Winfrey
Album by Los Fabulosos Cadillacs
victims of Argentina's military dictatorship, is the album's most powerful number. The title cut (done in two versions: reggae and salsa) depicts an
El_León_(album)
Alien civilizations in the TV show Babylon 5
the Minbari and the Vorlons; and several dozen less powerful ones. A number of the less powerful races make up the League of Non-Aligned Worlds, which
Civilizations_in_Babylon_5
Witch in Navajo mythology
mystery within Navajo communities. Traditional accounts describe them as powerful sorcerers who, after engaging in various nefarious acts, gain the ability
Skin-walker
Series of civil wars in England (1455–1487)
France, as well as the quasi-military bastard feudalism resulting from the powerful duchies created by King Edward III (died 1377). The mental instability
Wars_of_the_Roses
Natural number
aspect of Roland and his traveler's lives. In addition, the number ends up being a powerful key. Though the maximum score for a cribbage hand is 29, there
19_(number)
Product of an integer with itself
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with
Square_number
Actress (born 1983)
book Sulwe, which became a number-one New York Times Best-Seller. In 2020, she was named one of Africa's 50 Most Powerful Women by Forbes. Nyong'o has
Lupita_Nyong'o
Revolver
recoil. As of 2024, it is the most powerful revolver line ever offered by Taurus. It was chambered for a number of powerful cartridges, notably the .44 Magnum
Taurus_Raging_Bull
Rugby player
the first fifteen, Brendan Nasser had the reputation of being a very powerful number eight, with exceptional skills and strength. He was a very effective
Brendan_Nasser
Marvel Comics supervillain
Conqueror is number 65 Archived October 19, 2021, at the Wayback Machine, IGN. Oddo, Marco Vito; Robbins, Jason (September 28, 2021). "20 Most Powerful Marvel
Kang_the_Conqueror
Integer named after Reo Fortune
(Fortune's conjecture) More unsolved problems in mathematics In number theory, a Fortunate number is the smallest integer m > 1 {\displaystyle m>1} such that
Fortunate_number
Smallest unit of a chemical element
more powerful than the electrostatic force that causes positively charged protons to repel each other. Atoms of the same element have the same number of
Atom
2015 single by Lady Gaga
from Consequence of Sound called the track: "a sweeping and intensely powerful number — it's not just any ordinary pop song". Christopher Tapley from Variety
Til_It_Happens_to_You
Pharaoh of Egypt from 1279 to 1213 BC
the greatest, most celebrated, and most powerful pharaoh of the New Kingdom, which itself was the most powerful period of ancient Egypt. He is also widely
Ramesses_II
Character from The Wonderful Wizard of Oz
what they want", he developed a number of devices and tricks to maintain the illusion of "Oz, the great and powerful". Using special effects, he appeared
Wizard_of_Oz_(character)
1987 studio album by the Fabulous Thunderbirds
Hot Number is a studio album by the American blues rock band the Fabulous Thunderbirds, released in 1987. It peaked at No. 49 on the Billboard 200. The
Hot_Number
Lower house of the Parliament of India
the census of 2011. The Lok Sabha has certain powers that make it more powerful than the Rajya Sabha. Motions of no confidence against the government can
Lok_Sabha
81, 100 (sequence A001597 in the OEIS). 1 is sometimes included. A powerful number (also called squarefull) has multiplicity greater than 1 for all its
Table_of_prime_factors
Property of a number
In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point at which
Persistence_of_a_number
Property of possessing maximal power
potens, meaning "potent" or "powerful". Thus the term means "all-powerful". The term omnipotent has been used to connote a number of different positions. These
Omnipotence
Prime number of the form 2^n – 1
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer
Mersenne_prime
Number of form 2^(2^p-1)-1 with prime exponent
In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p {\displaystyle
Double_Mersenne_number
President of the European Commission since 2019
around 30 votes compared to her election in 2019. She was named the most powerful woman in the world by Forbes in 2022, 2023, 2024, and 2025. Von der Leyen
Ursula_von_der_Leyen
Natural number
regular number, an abundant number, a Nialpdrome, an ulam number, a powerful number, and an untouchable number, also called a nonaliquot number. It is
300_(number)
Canadian singer-songwriter and musician (born 1959)
Adams' music was characterised as hard rock with melodic overtones and powerful ballads (known as power ballads).[better source needed][better source needed]
Bryan_Adams
Brazilian fashion model (born 1980)
models list from 2005 to 2016. In 2014, she was listed as the 89th most powerful woman in Media and Entertainment by Forbes. Vogue credited Bündchen with
Gisele_Bündchen
2025 video game
minigame, and a black market which grants special 'corrupted' items with more powerful effects. The player wins money if they exceed the quota and fill up the
Nubby's_Number_Factory
Indian film/TV producer, director (born 1975)
and concept building. Having been chosen as one of 50 of ‘Asia's Most Powerful Communicators’ by Asia Week magazine in 2001, she has helped launch the
Ekta_Kapoor
Multiset of prime exponents in a prime factorization
if max(S) ≤ 2, A powerful number if min(S) ≥ 2, A perfect power if gcd(S) > 1, A k-almost prime if sum(S) = k, or An Achilles number if min(S) ≥ 2 and
Prime_signature
Marvel Comics supervillain
that the combined DNA of Grey and Summers would result in the birth of a powerful mutant. Soon after "Inferno", Sinister is also revealed to have manipulated
Mister_Sinister
Figurate number
The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the
Triangular_number
Positive integer of the form (2^(2^n))+1
In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form: F n
Fermat_number
Experiment methodology
S2CID 17165746. Krishnamoorthy, K.; Thomson, Jessica (2004). "A more powerful test for comparing two Poisson means". Journal of Statistical Planning
A/B_testing
Leader of China from 2002 to 2012
also named him the second most powerful person in the world later that year. Hu was named the 2010 World's Most Powerful Person by Forbes Magazine. Hu
Hu_Jintao
and legendary creatures. Many Pokémon are capable of evolving into more powerful species, while others can undergo form changes and achieve similar results
List_of_Pokémon
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