8088
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
- 20280
- Proper Divisor Sum (Aliquot Sum)
- 12192
- 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
- 2688
- Möbius Function
- 0
- Radical
- 2022
- 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
- 65
- 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 conjugacy classes in GL(n,2).at n=13A006951
- Number of strict first-order maximal independent sets in cycle graph.at n=31A007391
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=55A035937
- Numbers having three 8's in base 10.at n=8A043523
- Initial pile sizes that guarantee a win for player 2 in a variant of Fibonacci Nim where the players may not take one stone.at n=37A052492
- Multiples of 24 whose digits also sum to 24.at n=30A066270
- At these values of k the first, 2nd and 3rd cyclotomic polynomials all give prime numbers.at n=31A070020
- Numbers n such that n-th cyclotomic polynomial evaluated at phi(n) is a prime number.at n=31A070525
- Numbers k such that 2*R_k - 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A084832
- Numbers k with property that k is a peak value in 3x+1 trajectory such that both k+1 and k-1 are prime numbers.at n=32A095385
- Number of partitions of n with rank 1 (the rank of a partition is the largest part minus the number of parts).at n=48A101198
- Positions of 9 in partition of decimal expansion of Pi A104807.at n=29A104809
- Starting numbers for which the RATS sequence has eventual period 14.at n=11A114615
- Accepted inputs by a certain adaptive automaton (number 4258072) with two adaptive functions and unary numbers as input.at n=19A134342
- a(n) = p(n+1)^2 + 2*p(n) + 1; p(n) is the n-th prime number and n >= 1.at n=22A155819
- a(n) = 225*n^2 - 2*n.at n=5A158226
- Number of binary strings of length n with equal numbers of 0010 and 1001 substrings.at n=14A164169
- Partial sum of Perrin numbers.at n=27A193744
- Numbers whose base 10 digits are a subset of {0, 8}.at n=11A204095
- Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y| not distinct.at n=29A213491