8624
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 21204
- Proper Divisor Sum (Aliquot Sum)
- 12580
- 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
- 3360
- Möbius Function
- 0
- Radical
- 154
- Omega Function (Ω)
- 7
- 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
- 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
- Generalized Stirling numbers, [n+3,n]_2.at n=6A001702
- Generalized Stirling numbers, [n+7,7]_2.at n=3A001709
- Number of permutations of [n] with four inversions.at n=17A005287
- Coordination sequence for MgCu2, Mg position.at n=23A009931
- Coordination sequence for Ni2In, Position Ni2.at n=28A009942
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NON = Nonasil-[ 4158 ] [Si88O176].4R starting with a T3 atom.at n=12A019213
- Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+x^4+x^5+x^6)*A(x) + 1 =0.at n=19A023423
- Convolution of A001950 with itself.at n=18A023667
- a(n) = 11*n^2.at n=28A033584
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=20A045303
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 23 (most significant digit on right).at n=21A061952
- a(n) = n!^2 * Sum_{k=1..n} mu(k)/k^2, where mu(k) is the Moebius function.at n=4A068338
- Composite numbers k+1 such that k*phi(k+1) is a perfect square.at n=18A069068
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=35A070275
- Sums of (one or more distinct) k-perfect numbers.at n=39A083865
- Sum of first n 8-almost primes.at n=9A086061
- Triangle read by rows: S_D(n,k) = `Type D' Stirling numbers of the second kind.at n=34A086364
- Number of (s(0), s(1), ..., s(n)) such that 0 < s(i) < 6 and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 5.at n=8A094309
- Number of permutations p of (1,2,3,...,n) such that k+p(k) is a triangular number for 1<=k<=n.at n=21A096901
- Fourth column (m=3) of (1,6)-Pascal triangle A096956.at n=31A096957