5712
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 12144
- 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
- 1536
- Möbius Function
- 0
- Radical
- 714
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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 transitive permutation groups of degree n.at n=29A002106
- Number of Hamiltonian paths (or Gray codes) on n-cube with a marked starting node.at n=3A003043
- Number of unlabeled reduced unit interval graphs on n nodes.at n=13A005218
- Expansion of g.f. x*(1 + x)*(1 + 6*x + x^2)/(1 - x)^7.at n=7A006858
- Number of abstract simplicial 2-complexes on {1,2,3,...,n+3} which triangulate the 2-sphere: C(n+3,2)*(4n+1)!/(3n+3)!.at n=3A007816
- Expansion of e.g.f. cosh(sin(x)^2) (even coefficients).at n=4A009150
- Expansion of cosh(tan(x)*sin(x)).at n=4A009164
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=31A014112
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LTA = Linde Type A.at n=5A019033
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=43A020441
- Expansion of 1/Product_{m>=1} (1 - m*q^m)^28.at n=3A022752
- a(n) is least k such that k and 2k are anagrams in base n (written in base 10).at n=10A023094
- Theta series of A*_7 lattice. Expansion of F_8(q^2).at n=71A023919
- n written in fractional base 8/5.at n=42A024647
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=41A026042
- Composite binary rooted trees with external nodes.at n=25A035102
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).at n=72A036877
- Number of partitions satisfying cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5).at n=32A039837
- Denominators of continued fraction convergents to sqrt(879).at n=9A042699
- Numbers k such that k^256 + 1 is prime.at n=17A056995