7680
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 24552
- Proper Divisor Sum (Aliquot Sum)
- 16872
- 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
- 2048
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 11
- 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
- 26
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Expansion of 2*x^3/((1-2*x)^2*(1-4*x)).at n=8A000431
- Denominators of Bernoulli polynomials B(n)(x).at n=9A001898
- High temperature series in v = tanh(J/kT) for residual correlation function (correction to susceptibility) for the spin-1/2 Ising model on square lattice.at n=8A002907
- Ratios of successive terms are 1,2,2,2,3,4,4,4,5,6,6,6,7,...at n=9A004528
- a(n) = 4^(n-4)*(n-1)*(n-2)*(n-3).at n=3A006044
- Order of group generated by perfect shuffles of 2n cards.at n=5A007346
- Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks.at n=17A008303
- Theta series of {D_6}* lattice.at n=31A008425
- Theta series of (probably nonexistent) exceptionally good 16-dimensional sphere packing.at n=3A008774
- Max_{k=0..n} d(C(n,k)) - d(C(n,[ n/2 ])), where d() = number of divisors.at n=54A020740
- Expansion of (theta_3(z)*theta_3(2z)*theta_3(4z)+theta_2(z)*theta_2(2z)*theta_2(4z))^3.at n=42A028700
- 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 43.at n=25A031541
- a(n) = 2^n*(n-1)! for n > 1, a(1) = 1.at n=5A032184
- Number of possible rook moves on an n X n chessboard.at n=15A035006
- Number of partitions of n into parts 4k+1 and 4k+2 with at least one part of each type.at n=51A035624
- Maximal value of d(x) (the number of divisors of x, A000005) if the binary order (see A029837) of x, the value g(x) = n.at n=41A036451
- Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j)*6^j.at n=16A038236
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*4^j.at n=19A038258
- Numbers having three 0's in base 8.at n=34A043423
- Numbers that are divisible by at least 10 primes (counted with multiplicity).at n=21A046313