13476
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 31472
- Proper Divisor Sum (Aliquot Sum)
- 17996
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4488
- Möbius Function
- 0
- Radical
- 6738
- 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
- 182
- 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
- High temperature series for spherical model susceptibility on 3-dimensional simple cubic lattice.at n=6A003279
- Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4.at n=38A079094
- a(n) = 4*a(n-1) - a(n-2) - a(n-3).at n=10A108146
- a(n) = (n+1)*(n+2)*(n+3)*(19*n^3 + 111*n^2 + 200*n + 120)/720.at n=7A108684
- Concatenation of first n elements of the sigma function, where sigma(n) is the sum of divisors of n.at n=4A132930
- a(n) = (9*n^2 - 5*n + 2)/2.at n=55A140064
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=16A192748
- The Wiener index of the tetrameric 1,3-adamantane TA(n) (see the Fath-Tabar et al. reference).at n=5A216106
- Coefficient of q^4 in the polynomial NT_{n,mu}(q).at n=6A235594
- a(n) is the number of prime sets such that each set contains enough prime numbers to decompose every even number from 6 to 2n into the sum of two of its elements (reuse allowed), while none of the sets is a subset of another such set.at n=55A237638
- Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it, modulo 4.at n=3A239644
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=18A239649
- Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=2A239652
- The growth series for the affine Weyl group E_7.at n=10A266785
- a(n)=least number that is cyclops for exactly n distinct bases b > 1.at n=8A285987
- Irregular triangle read by rows: T(n,m) = number of lattice paths of type B^H terminating at point (n, m).at n=63A291085
- E.g.f. satisfies log(A(x)) = x * (exp(x) - 1) * A(x)^3.at n=6A356798
- Positions of records in A366091.at n=45A366065
- Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,4} for all i=1,...,n.at n=36A376743
- a(n) = a(n-1) + a(n-3), with a(0) = 1, a(1) = 4, a(2) = 8.at n=22A385633