3936
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 6648
- 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
- 1280
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 7
- 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
- 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
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=32A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=32A004965
- Coordination sequence T5 for Zeolite Code EUO.at n=39A008100
- Coordination sequence T3 for Zeolite Code MEP.at n=37A008159
- Coordination sequence T2 for Zeolite Code MFI.at n=40A008165
- exp(arctanh(x)+tanh(x)) = 1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+72/5!*x^5...at n=7A013184
- Number of partitions of n into distinct parts, none being 2.at n=56A015744
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=47A020331
- a(n) = n!*(1/C(n,0) - 1/C(n,1) - ... - 1/C(n,[ n/2 ])).at n=7A024421
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=26A025005
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=37A025366
- Number of words of length 2n in the 6 transpositions of S[ 4 ] equivalent to the identity.at n=2A029697
- Number of words of length 6 in the n(n-1)/2 transpositions of S[ n ] equivalent to the identity.at n=3A029700
- 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 31.at n=16A031529
- Number of bracelets (turnover necklaces) of n beads of 2 colors, 7 of them black.at n=15A032280
- Multiplicity of highest weight (or singular) vectors associated with character chi_31 of Monster module.at n=34A034419
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=49A035937
- Number of k's such that A002034(k) = n.at n=17A038024
- Values of n such that 90n+11, 90n+13, 90n+17, 90n+19 are all primes.at n=23A051897
- Number of prime Hurwitz quaternions of norm prime(n).at n=37A055669