8685
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
- 12
- Divisor Sum
- 15132
- Proper Divisor Sum (Aliquot Sum)
- 6447
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 2895
- Omega Function (Ω)
- 4
- 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
- 52
- 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
- no
- Odd
- yes
Appears in sequences
- Representation degeneracies for boson strings.at n=29A005293
- a(n) = T(2n-1,n), where T is the array in A026098.at n=43A026102
- Denominators of continued fraction convergents to sqrt(543).at n=8A042039
- Numerators of continued fraction convergents to sqrt(976).at n=5A042888
- Gregorian calendar years with Ascension Day in April.at n=35A084427
- Least k such that 2^n+k is a brilliant number (A078972).at n=58A085650
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=31A086769
- Square table, read by antidiagonals, of coefficients T(n,k) of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy*f(x,y)^3.at n=49A088925
- Square table, read by antidiagonals, of coefficients T(n,k) of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy*f(x,y)^3.at n=50A088925
- Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.at n=43A090121
- Least k such that decimal representation of k*n contains only digits 0 and 3.at n=37A096682
- a(n) is the floor of the reciprocal of the difference between the 10^n-th root of 10^n and 1.at n=4A141492
- Number of binary strings of length n with equal numbers of 00001 and 01001 substrings.at n=14A164198
- n times the n-th noncomposite.at n=44A164931
- Numbers k such that (k^3 - 2, k^3 + 2) is a pair of cousin primes (see A178227).at n=42A178228
- a(n) = floor(a(n-1)/3)+a(n-2) with a(0)=2, a(1)=3.at n=52A182281
- Number of ways to arrange 4 nonattacking knights on the lower triangle of an n X n board.at n=6A194488
- T(n,k)=Number of ways to arrange k nonattacking knights on the lower triangle of an n X n board.at n=51A194492
- Solutions to phi(n) = phi(sigma(n)) that are not given by Theorem 3 of Golomb's manuscript.at n=51A260021
- Products of three distinct tribonacci numbers > 1.at n=23A274434