8808
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22080
- Proper Divisor Sum (Aliquot Sum)
- 13272
- 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
- 2928
- Möbius Function
- 0
- Radical
- 2202
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 96
- 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
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=39A014088
- Number of ways to partition 2n into distinct positive integers.at n=29A035294
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = tetragonal pyramid group of order 8 with cycle index (z1^5+2*z1*z4+3*z1*z2^2+2*z1^3*z2)/8.at n=8A036784
- Numbers having three 8's in base 10.at n=16A043523
- Numbers k such that k^256 + 1 is prime.at n=27A056995
- McKay-Thompson series of class 18h for Monster.at n=53A058546
- Multiples of 24 whose digits also sum to 24.at n=36A066270
- Numbers n such that n-th cyclotomic polynomial evaluated at phi(n) is a prime number.at n=33A070525
- Number of ways to partition 4*n+2 into distinct positive integers.at n=14A078407
- Starting numbers for which the RATS sequence has eventual period 14.at n=19A114615
- Even values of the PartitionsQ function A000009.at n=45A118303
- a(n) = 9 + floor( Sum_{j=1..n-1} a(j)/3 ).at n=24A120154
- a(n) = n*(4*n^2+5*n-3)/2.at n=15A126335
- Expansion of g.f. -x*(10*x^4+12*x^3-x^2-3*x-3)/((x^2+x-1)*(4*x^3+x^2-x-1)).at n=17A134704
- First differences of A139310.at n=31A139311
- a(n) = 4*n^2 + 24*n + 8.at n=43A153642
- Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=13A187288
- Total sum of nonprime parts in all partitions of n.at n=21A194545
- Expansion of Sum_{n>=0} n^n*x^n/(1 - n*x)^n.at n=5A195242
- Numbers whose base 10 digits are a subset of {0, 8}.at n=13A204095