8208
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
- 40
- Divisor Sum
- 24800
- Proper Divisor Sum (Aliquot Sum)
- 16592
- 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
- 2592
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 8
- 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
- yes
- Collatz Steps
- 39
- 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
- Armstrong (or pluperfect, or Plus Perfect, or narcissistic) numbers: m-digit nonnegative numbers equal to sum of the m-th powers of their digits.at n=15A005188
- Expansion of tan(sin(x))/cosh(x).at n=4A009669
- Coordination sequence for FeS2-Pyrite, Fe position.at n=44A009957
- Powers of fifth root of 5 rounded to nearest integer.at n=28A018127
- Powers of fifth root of 5 rounded up.at n=28A018128
- Number of subsets of { 1, ..., n } containing an A.P. of length 9.at n=19A018794
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=39A020443
- Perfect Digital Invariants: numbers that are the sum of some fixed power of their digits.at n=17A023052
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=40A029713
- Theta series of 6-dimensional 8-modular lattice of minimal norm 4.at n=37A029713
- a(n+1) = Sum_{k=0..floor(4*n/5)} a(k) * a(n-k).at n=13A030039
- Specific heat coefficients for square lattice spin 3 Ising model.at n=24A030122
- Theta series of lattice A_2 tensor D_3 (dimension 6, det. 432, min. norm 4).at n=40A033701
- Number of planar simply-connected mono-q-polyhexes for q=5.at n=7A039625
- Number of partitions satisfying 0 < cn(1,5) + cn(2,5) + cn(3,5) and 0 < cn(4,5) + cn(2,5) + cn(3,5).at n=32A039901
- Numbers having four 0's in base 6.at n=21A043372
- a(n) = (A000110(n) - A000994(n+2))/2.at n=9A051140
- Fixed points for operation of repeatedly replacing a number with the sum of the fourth power of its digits.at n=3A052455
- a(n) = T(n,n-4), array T as in A055818.at n=16A055821
- Periodic part of continued fraction for sqrt(n), encoded by recursively interleaving the bits in the binary expansions of the repeating terms.at n=17A059904