772
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1358
- Proper Divisor Sum (Aliquot Sum)
- 586
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 384
- Möbius Function
- 0
- Radical
- 386
- Omega Function (Ω)
- 3
- 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
- 121
- 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
- siebenhundertzweiundsiebzig· ordinal: siebenhundertzweiundsiebzigste
- English
- seven hundred seventy-two· ordinal: seven hundred seventy-second
- Spanish
- setecientos setenta y dos· ordinal: 772º
- French
- sept cent soixante-douze· ordinal: sept cent soixante-douzième
- Italian
- settecentosettantadue· ordinal: 772º
- Latin
- septingenti septuaginta duo· ordinal: 772.
- Portuguese
- setecentos e setenta e dois· ordinal: 772º
Appears in sequences
- Number of n-step self-avoiding walks on cubic lattice ending at point with x=0.at n=5A000759
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=47A001033
- Primes multiplied by 4.at n=43A001749
- Number of integers with a shortest addition chain of length n.at n=13A003065
- Numbers that are the sum of 10 positive 7th powers.at n=6A003377
- Numbers that are the sum of 7 nonzero 8th powers.at n=3A003385
- Bode numbers multiplied by 10: 4 + 3*floor(2^(n-1)).at n=9A003461
- Dowling numbers: e.g.f. exp(x + (exp(b*x) - 1)/b), with b=6.at n=4A003578
- Numbers that are the sum of at most 10 positive 7th powers.at n=55A004872
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=25A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=28A004881
- Numbers that are the sum of at most 9 nonzero 8th powers.at n=31A004882
- Numbers that are the sum of at most 10 nonzero 8th powers.at n=34A004883
- Numbers that are the sum of at most 11 nonzero 8th powers.at n=37A004884
- Numbers that are the sum of at most 12 nonzero 8th powers.at n=40A004885
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=43A004941
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.at n=43A004961
- Number of Dyck paths of knight moves.at n=12A005223
- Number of distinct autocorrelations of binary words of length n.at n=36A005434
- Number of partitions of 4*n into powers of 4.at n=56A005705