8560
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 20088
- Proper Divisor Sum (Aliquot Sum)
- 11528
- 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
- 3392
- Möbius Function
- 0
- Radical
- 1070
- Omega Function (Ω)
- 6
- 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
- 26
- 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 commutative elements in Coxeter group F_n.at n=4A013980
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among quadruples.at n=14A015653
- Expansion of 1/((1-6x)(1-10x)(1-12x)).at n=3A020758
- a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A026552.at n=3A027275
- a(n) = (3*n - 1)*(4*n - 1).at n=27A033578
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=39A053818
- McKay-Thompson series of class 23A for Monster.at n=24A058570
- Sum of largest parts of all partitions of n into odd parts.at n=35A092322
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=26A098192
- Sum of ordered 3 prime sided prime triangles.at n=37A105100
- McKay-Thompson series of class 23A for the Monster group with a(0) = 1.at n=24A134781
- Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 10 ones in any 5 X 5 X 5 subtriangle.at n=11A153993
- Triangle read by rows: T(n,m) = (-1)^n*Sum_{i=0..m} (-1)^(m-i)*binomial(n-i-1, m-i)*Stirling_1(n+i+1,i+1), for 0 <= m <= n.at n=17A156528
- Positions of zeros in A165582.at n=38A165583
- Convolution of A007947 with itself.at n=43A175703
- Number of partitions of n with no part equal to 1 or 3.at n=48A181531
- Triangular array read by rows. T(n,k) is the number of functions f:{1,2,...,n}->{1,2,...,n} that have exactly k 3-cycles. n>=0, 0<=k<=floor(n/3).at n=10A185070
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209135; see the Formula section.at n=41A209136
- Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having four, five, six or eight distinct values for every i,j,k<=n.at n=4A211751
- Number of ways to reciprocally link elements of an n X 5 array either to themselves or to exactly two horizontal or antidiagonal neighbors.at n=5A220629