8960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 24528
- Proper Divisor Sum (Aliquot Sum)
- 15568
- 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
- 3072
- Möbius Function
- 0
- Radical
- 70
- Omega Function (Ω)
- 10
- 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
- 21
- 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
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=27A002624
- a(n) = n*(n+1)*(n+2)^2/6.at n=14A004320
- Theta series of D_5 lattice.at n=33A005930
- Pisot sequence E(8,10), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=28A010916
- Expansion of e.g.f. arctan(sin(x)*exp(x)).at n=7A012290
- arcsin(tanh(x)*cos(x))=x-4/3!*x^3+576/7!*x^7+8960/9!*x^9...at n=4A012688
- exp(arctanh(x)+tan(x))=1+2*x+4/2!*x^2+12/3!*x^3+48/4!*x^4+232/5!*x^5...at n=7A013172
- Triangle of coefficients in expansion of (1+4x)^n.at n=32A013611
- Triangle of coefficients in expansion of (4+7x)^n.at n=16A013625
- Expansion of (1+2*x) / (1-2*x)^4.at n=6A014483
- a(n) = (n+1)*binomial(n+1,13).at n=3A027773
- Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.at n=33A028579
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 47.at n=23A031545
- Triangle read by rows: T(n,k) (n >= 2, 0 <= k <= n) = number of over-all crude totals of unbranched k-5-catapolyheptagons.at n=28A038195
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j).at n=31A038231
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*4^j.at n=19A038270
- 4-fold convolution of A000302 (powers of 4); expansion of g.f. 1/(1-4*x)^4.at n=4A038846
- Denominators of continued fraction convergents to sqrt(856).at n=11A042653
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=28A046313
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=18A046314