3992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7500
- Proper Divisor Sum (Aliquot Sum)
- 3508
- 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
- 1992
- Möbius Function
- 0
- Radical
- 998
- 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
- 51
- 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
- Number of words of length n in a certain language.at n=32A005819
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=28A007773
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=46A008083
- Coordination sequence T1 for Milarite.at n=39A008256
- Expansion of e.g.f. arcsin(tanh(x) * exp(x)).at n=7A012659
- Numbers k such that phi(k) + 9 | sigma(k + 9).at n=37A015788
- Expansion of 1/((1-x)(1-4x)(1-8x)(1-9x)).at n=3A021904
- Numbers k such that Fib(k) == 21 (mod k).at n=27A023179
- Molien series for Gamma_3(2).at n=4A027630
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 15.at n=29A031513
- "DHK" (bracelet, identity, unlabeled) transform of 1,2,3,4,...at n=12A032254
- Starting positions of strings of 2 1's in the decimal expansion of Pi.at n=41A050208
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=3A050209
- Numbers k such that k^10 == 1 (mod 11^3).at n=29A056085
- a(n) = n*11^n - 1.at n=2A064757
- Composites which use more than all their digits in their prime factorization.at n=36A074237
- Sum of first n perfect powers.at n=27A076408
- Number of positions that are exactly n moves from the starting position in the Billiards Nine-Ball puzzle.at n=6A079839
- Array T(m,n) read by antidiagonals: if X and Y are two (possibly empty) finite sets with m and n elements respectively and Z is the disjoint union of X and Y, then T(m,n) is the number of self-inverse partial functions f:Z ->Z which do not fix any element of Y.at n=42A086363
- Integers k such that R(k+8) = 4.at n=2A086942