8676
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 22022
- Proper Divisor Sum (Aliquot Sum)
- 13346
- 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
- 2880
- Möbius Function
- 0
- Radical
- 1446
- 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
- 78
- 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
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=32A006508
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3).at n=15A014696
- Numerators of continued fraction convergents to sqrt(618).at n=4A042186
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2); sequence gives values of u1.at n=27A048189
- Numbers k such that 3*5^k + 2 is prime.at n=23A057916
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=42A060672
- Number of nonisomorphic cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).at n=45A063183
- Trisection of A007294.at n=33A073471
- Number of solutions to n^2 < x^2 + y^2 + z^2 < (n+1)^2; number of lattice points between spheres of radii n and n+1.at n=26A078184
- Sum of GCD's of parts in all partitions of n.at n=31A078392
- Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n).at n=24A094416
- Generalized ordered Bell numbers Bo(4,n).at n=4A094417
- Generalized ordered Bell numbers Bo(n,n).at n=4A094420
- Number of solutions to +-p(1)+-p(2)+-...+-p(2n-1) = 2, where p(i) is the i-th prime.at n=10A113041
- Largest number not the sum of n distinct nonzero squares.at n=23A129210
- a(n) is the smallest number such that twice the number of divisors of (a(n)-n)/3 gives the n-th term in the first differences of the sequence produced by the Flavius Josephus sieve, A000960.at n=35A130826
- a(n) = ( (6 + sqrt(6))^n - (6 - sqrt(6))^n )/(2*sqrt(6)).at n=4A154237
- a(n) = 12*a(n-1) - 6*a(n-2), with a(0)=1, a(1)=6.at n=4A165229
- Numbers k such that k^3 +-7 are primes.at n=28A176685
- Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 18 integral solutions.at n=6A179158