2808
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 5592
- 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
- 864
- Möbius Function
- 0
- Radical
- 78
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- Numbers k such that 15*2^k + 1 is prime.at n=22A002258
- a(n) = ceiling(1000*log_2(n)).at n=6A004267
- Coordination sequence T1 for Zeolite Code ATT.at n=38A008041
- Coordination sequence T2 for Zeolite Code ATT.at n=38A008042
- Coordination sequence T1 for Zeolite Code iRON.at n=37A009881
- Coordination sequence T3 for Zeolite Code iRON.at n=37A009883
- a(n) = floor(n*(n-1)*(n-2)/7).at n=28A011889
- Bisection of A001400.at n=34A014125
- Weight distribution of [ 18,9,8 ] self-dual code over GF(4).at n=9A014487
- Weight distribution of [ 17,9,7 ] code over GF(4).at n=17A014488
- Place where n-th 1 occurs in A023125.at n=27A022787
- a(n) = Sum_{k=1..n} floor((n/k)*floor(n/k)).at n=41A024921
- Expansion of phi(x) / f(-x) in powers of x where phi(), f() are Ramanujan theta functions.at n=21A029552
- a(n) = floor( n(n+1)(n+2)(n+3)(n+4) / (n+(n+1)+(n+2)+(n+3)+(n+4)) ).at n=9A032768
- Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).at n=7A032770
- Positive integers of the form n(n+1)(n+2)(n+3)(n+4)/(n+(n+1)+(n+2)+(n+3)+(n+4)) that are a multiple of n.at n=5A032794
- Numbers whose set of base-7 digits is {1,2}.at n=32A032928
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=26A033996
- Numbers which are one less than a perfect square that cannot otherwise be written as a power.at n=42A037450
- Coordination sequence T11 for Zeolite Code STT.at n=35A038429