8976
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 26784
- Proper Divisor Sum (Aliquot Sum)
- 17808
- 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
- 2560
- Möbius Function
- 0
- Radical
- 1122
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice.at n=3A002916
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=31A005996
- a(n) = floor(n*(n-1)*(n-2)/4).at n=34A011886
- Expansion of (1-4*x)^(11/2).at n=15A020923
- a(n) = 10^n - n^5.at n=4A024119
- Areas of right triangles with coprime integer sides.at n=41A024365
- Ordered areas of primitive Pythagorean triangles.at n=44A024406
- a(n) = Sum_{k=0..m-1} T(n,k) * T(n,k+1), where m=n for n=0,1 and m=floor((n+3)/2) for n >= 2, and T given by A026022.at n=7A027295
- Even 9-gonal (or enneagonal) numbers.at n=25A028992
- a(n) = (2*n+1)*(7*n+1).at n=25A033572
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=33A035008
- Numerators of continued fraction convergents to sqrt(833).at n=6A042608
- Least k for which the integers floor(2k/(m*(m+1))) for m=1,2,...,n are distinct.at n=36A054064
- a(n) = n*(n+1)*(2*n+1).at n=16A055112
- Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg).at n=30A055522
- Generalized sum of divisors function: third diagonal of A060047.at n=29A060046
- Numbers k such that sigma(x) = k has exactly 6 solutions.at n=39A060662
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=55A066286
- Numbers of the form (2i)! (2j)! / i! j! (i + j)!.at n=38A068514
- Partial sums of A084570.at n=20A084569