472
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 900
- Proper Divisor Sum (Aliquot Sum)
- 428
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 232
- Möbius Function
- 0
- Radical
- 118
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- vierhundertzweiundsiebzig· ordinal: vierhundertzweiundsiebzigste
- English
- four hundred seventy-two· ordinal: four hundred seventy-second
- Spanish
- cuatrocientos setenta y dos· ordinal: 472º
- French
- quatre cent soixante-douze· ordinal: quatre cent soixante-douzième
- Italian
- quattrocentosettantadue· ordinal: 472º
- Latin
- quadringenti septuaginta duo· ordinal: 472.
- Portuguese
- quatrocentos e setenta e dois· ordinal: 472º
Appears in sequences
- Series-parallel numbers.at n=1A000527
- Number of ways of writing 0 as Sum_{k=-n..n} e(k)*k, where e(k) is 0 or 1.at n=6A000980
- Numbers that are the sum of 2 successive primes.at n=50A001043
- Numbers k such that phi(2k+1) < phi(2k).at n=4A001837
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=36A001996
- Number of circulant tournaments on 2n+1 nodes up to Cayley isomorphism.at n=12A002086
- Numbers k such that (k^2 + k + 1)/3 is prime.at n=55A002640
- A binomial coefficient summation.at n=8A003162
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=35A005114
- Fermionic string states.at n=8A005310
- Number of partitions of 4*n into powers of 4.at n=46A005705
- Factor complexity (number of subwords of length n) of the Golay-Rudin-Shapiro binary word A020987.at n=60A005943
- Number of esters with n carbon atoms up to stereo-isomerism.at n=7A005958
- Maximal length of rook tour on an n X n board.at n=8A006071
- Witt vector *2!.at n=6A006173
- Witt vector *5!/5!.at n=1A006180
- Maximal partial Steiner triple systems of order n.at n=8A006181
- Number of series-parallel networks with n labeled edges. Also called yoke-chains by Cayley and MacMahon.at n=4A006351
- Numbers whose sum of divisors is a square.at n=24A006532
- Mu-molecules in Mandelbrot set whose seeds have period n.at n=9A006876