1792
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 4088
- Proper Divisor Sum (Aliquot Sum)
- 2296
- 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
- 768
- Möbius Function
- 0
- Radical
- 14
- Omega Function (Ω)
- 9
- 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
- 24
- Smith Number
- no
- Vampire 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
Appears in sequences
- Expansion of 1/((1+x)*(1-x)^6).at n=10A001753
- a(n) = n*(n+1)*2^(n-2).at n=7A001788
- a(n) = binomial(n,3)*2^(n-3).at n=5A001789
- a(n) = 7*4^n.at n=4A002042
- Number of partitions of n into nonprime parts.at n=44A002095
- Denominators of coefficients of log(1+x)/sqrt(1+x).at n=7A002550
- Numbers that are the sum of 7 nonzero 8th powers.at n=7A003385
- Numbers of form 2^i*7^j, with i, j >= 0.at n=28A003591
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=21A003600
- a(n) = 1000*log(n) rounded to the nearest integer.at n=5A004241
- a(n) = ceiling(1000*log(n)).at n=5A004242
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=35A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=42A004881
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=9A004966
- a(n) = 7*2^n.at n=8A005009
- Representation degeneracies for Ramond strings.at n=11A005306
- Number of nonseparable rooted toroidal maps with n + 3 edges and n + 1 vertices.at n=4A006408
- Number of 3-voter voting schemes with n linearly ranked choices.at n=13A007009
- Fourier coefficients of E_{infinity,4}.at n=12A007331
- Coordination sequence T2 for Zeolite Code AST.at n=32A008037