8619
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13176
- Proper Divisor Sum (Aliquot Sum)
- 4557
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4992
- Möbius Function
- 0
- Radical
- 663
- 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
- 140
- 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
- no
- Odd
- yes
Appears in sequences
- Number of strict 5th-order maximal independent sets in cycle graph.at n=51A007393
- Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=33A035977
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=21A045306
- Digitally balanced numbers in both bases 2 and 3.at n=18A049361
- a(n) = 1 + Sum_{i=1..n} phi(i)^2.at n=39A049454
- Numerators of row 4 of table described in A051714/A051715.at n=38A051722
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 1), (0, 0, 1), (1, 0, -1), (1, 1, 0)}.at n=7A150553
- a(n) = 3*n*(5*n-1)/2.at n=33A167469
- The second of a pair of sequences A and B with property that all the differences |a_i - b_j| are distinct - for precise definition see Comments lines in A169677.at n=43A169678
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w<x+y.at n=25A182260
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,1,1 for x=0,1,2,3,4.at n=8A197607
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,2,1,1,1 for x=0,1,2,3,4.at n=46A197613
- T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,2,1,1,1 for x=0,1,2,3,4.at n=46A197782
- Product of Pell and Motzkin numbers: a(n) = A000129(n+1)*A001006(n).at n=6A200540
- The Wiener index of the graph obtained by applying Mycielski's construction to the cycle graph C(n).at n=32A228320
- Numbers n dividing the sum of n-th powers of unitary divisors of n.at n=32A238982
- Simple continued fraction expansion of the constant defined in A037077.at n=66A248660
- Number of polynomials a_k*x^k + ... + a_1*x + a_0 with k > 0, integer coefficients and only non-multiple positive integer roots and a_0 = p^n (p is a prime).at n=35A248956
- Numbers k such that k!6 + 8 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=14A288152
- Partial sums of A301726.at n=56A301727