6808
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13680
- Proper Divisor Sum (Aliquot Sum)
- 6872
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 1702
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 62
- 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 bipartite partitions of n white objects and 2 black ones.at n=19A000291
- High temperature series for spin-1/2 Ising surface susceptibility on planar hexagonal lattice.at n=4A003488
- 3rd-order Vatalan numbers (generalization of Catalan numbers).at n=6A025756
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=13A031779
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=48A036026
- Number of primes between n*100000 and (n+1)*100000.at n=25A038825
- Composite numbers not ending in zero that yield a prime when turned upside down.at n=40A048889
- McKay-Thompson series of class 12e for Monster.at n=31A058493
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=17A070146
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=27A092231
- Largest denominator used in the Egyptian fraction representation of n/(n + 1) by the greedy algorithm.at n=35A100695
- Round(1000*x), where x is the solution to x = 5^(n-x).at n=8A104744
- Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.at n=43A108344
- Triangle, read by rows, where column k equals column 0 of A113983^(k+1): T(n,k) = [A113983^(k+1)](n-k,0) for n>=k>=0.at n=48A113993
- Column 3 of triangle A113993, also equals column 0 of A113983^4.at n=6A113995
- Expansion of psi(q^5)/psi(q) in powers of q where psi() is a Ramanujan theta function.at n=48A116494
- Number of fusenes with 26 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=8A123662
- a(n) = Sum_{k=0..n} C(n-1,k)^2*a(k)*a(n-k-1) for n>0 with a(0)=1.at n=6A132228
- Expansion of x^3*(x-1)*(x+1) / (x^5-2*x^4+x^2-1).at n=39A135990
- Numbers k such that k and k^2 use only the digits 0, 3, 4, 6 and 8.at n=9A136931