13440
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 48960
- Proper Divisor Sum (Aliquot Sum)
- 35520
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3072
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 10
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- Coefficients of x^n in Hermite polynomial H_{n+4}.at n=4A001816
- Convolution inverse of A143348.at n=11A002039
- a(n) = n! / 3.at n=5A002301
- a(n) = 2^(n-4)*C(n,4).at n=6A003472
- Number of Hamiltonian cycles in K_5 X P_n.at n=2A003749
- Theta series of lattice A_2 tensor E_8 (dimension 16, det. 6561, min. norm 4). Also theta series of Eisenstein version of E_8 lattice.at n=3A004033
- Smallest k such that sigma(x) = k has exactly n solutions.at n=36A007368
- a(n) = A002034(n)!/n.at n=26A007672
- Triangle of coefficients in expansion of D^n (tan x) in powers of tan x.at n=22A008293
- Area of more than one Pythagorean triangle.at n=14A009127
- Triangle of coefficients in expansion of (1+2*x)^n.at n=61A013609
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 12.at n=16A022317
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=23A029482
- Maximum of different products of partitions of n into distinct parts.at n=32A034893
- Expansion of ( Sum_{k>=0} k*q^(k^2) )^8.at n=28A037217
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j).at n=59A038207
- Becomes prime after n iterations of f(x) = sigma(x)-1 (least inverse of A039655).at n=21A039656
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=29A046314
- Denominators of coefficients in function a(x) such that a(a(x)) = log(1+x).at n=6A048608
- Triangle read by rows: T(n,k) = number of paths of n upsteps U and n downsteps D that contain k UUDs.at n=28A051288