792
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 2340
- Proper Divisor Sum (Aliquot Sum)
- 1548
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 240
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- siebenhundertzweiundneunzig· ordinal: siebenhundertzweiundneunzigste
- English
- seven hundred ninety-two· ordinal: seven hundred ninety-second
- Spanish
- setecientos noventa y dos· ordinal: 792º
- French
- sept cent quatre-vingt-douze· ordinal: sept cent quatre-vingt-douzième
- Italian
- settecentonovantadue· ordinal: 792º
- Latin
- septingenti nonaginta duo· ordinal: 792.
- Portuguese
- setecentos e noventa e dois· ordinal: 792º
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=21A000041
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=21A000082
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=44A000114
- Generalized class numbers c_(n,1).at n=18A000233
- Binomial coefficients C(n,5).at n=12A000389
- a(n) = binomial coefficient C(n,7).at n=5A000580
- Number of free nonplanar polyenoids with n nodes and symmetry point group C_{2v}.at n=10A000947
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=34A001172
- a(n) = (7*n+1)*(7*n+2)*(7*n+4).at n=1A001547
- a(n) = binomial coefficient C(2n, n-1).at n=6A001791
- Restricted partitions.at n=14A002574
- Number of integral points in a certain sequence of open quadrilaterals.at n=44A002578
- Beginnings of periodic unitary aliquot sequences.at n=68A003062
- Smallest positive integer that is n times its digit sum, or 0 if no such number exists.at n=43A003634
- Degrees of irreducible representations of alternating group A_13.at n=13A003868
- Degrees of irreducible representations of symmetric group S_13.at n=23A003877
- Degrees of irreducible representations of symmetric group S_13.at n=22A003877
- Reverse digits of number of partitions of n.at n=17A004089
- Number of signed graphs with n nodes. Also number of 2-multigraphs on n nodes.at n=5A004102
- a(n) = 3^n + 2^n - 1.at n=6A005056