8628
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 11532
- 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
- 2872
- Möbius Function
- 0
- Radical
- 4314
- Omega Function (Ω)
- 4
- 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
- 52
- Smith Number
- yes
- 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
- Coefficients of modular function denoted G_6(tau) by Atkin.at n=29A005764
- Aliquot sequence starting at 1134.at n=6A014365
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=43A025202
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=40A029695
- Numbers k such that 267*2^k + 1 is prime.at n=29A053350
- Numbers k such that 2^k - 17 is prime.at n=30A059611
- Coefficient of q^2 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,2).at n=11A074353
- Interprimes which are of the form s*prime, s=12.at n=23A075287
- Positions where values change in A100144.at n=46A100250
- Self-COMPOSE of A107700; thus g.f. A(x) = G(G(x)) = x + 2*G(x)^2, where G(x) is the g.f. of A107700.at n=11A107701
- Starting numbers for which the RATS sequence has eventual period 14.at n=17A114615
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=9A121733
- a(n) = 9^n mod 7^n.at n=5A139732
- a(n) = 216*n - 12.at n=39A154518
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=34A154667
- Coefficients of a Hermite-like polynomial from Eulerian polynomials: p(x,n) = Sum_{k=1..n+1} [Eulerian(n + 1, k - 1)*x^(k - 1)]; q(x,n) = p''(x,n) - x*p'(x,n) + n*p(x,n).at n=26A171633
- Numbers k such that k^3 +-5 are primes.at n=36A176684
- a(n) is the smallest number m such that all the n numbers 1!*m+1, 2!*m+1, ..., n!*m+1 are prime.at n=5A177014
- Numbers n such that there is at least one pair of twin primes 2^n - 2^k - 1 and 2^n - 2^k + 1 with n/2 <= k < n.at n=39A181408
- Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1.at n=29A209982