5664
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9456
- 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
- 1856
- Möbius Function
- 0
- Radical
- 354
- Omega Function (Ω)
- 7
- 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
- 36
- 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
- Number of unrooted triangulations with reflection symmetry of a hexagon with n internal nodes.at n=7A005507
- Coordination sequence T5 for Zeolite Code MFS.at n=47A008177
- Coordination sequence for sigma-CrFe, Position Xc.at n=19A009961
- sec(sinh(x)+arcsin(x))=1+4/2!*x^2+96/4!*x^4+5664/6!*x^6+622720/8!*x^8...at n=3A013042
- Number of ordered 5-tuples of integers from [ 2,n ] with no global factor.at n=12A015651
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T4 atom.at n=5A019052
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=31A028604
- Base 4 digital convolution sequence.at n=13A033641
- Base 4 digital convolution sequence.at n=16A033641
- Number of ways to place a non-attacking white and black bishop on n X n chessboard.at n=8A035288
- Number of partitions of n into parts not of the form 25k, 25k+9 or 25k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=31A036008
- Numbers k such that 3*2^k + 35 is prime.at n=41A059759
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 6) so far).at n=24A060733
- Integer part of (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=42A062492
- Nearest integer to (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=42A062493
- Generalized Catalan numbers 4*x*A(x)^2 -A(x)+1-3*x=0.at n=5A068766
- Number of solutions (x,y,z,u,v,w) to x+y+z = u+v+w, 0<=x,y,z,u,v,w<=n-1, x>=y>=z, u>=v>=w.at n=11A071009
- Products of Wythoff pairs: [n*r]*[n*r^2], where [] is the floor function and r is the golden ratio, (1+sqrt(5))/2.at n=36A075312
- Euler transform of 1, 3, 8, 23, ... (A050535).at n=7A076867
- Triangle read by rows: T(n,k) = number of unique-valued sequences of length k, n >= 1, 1 <= k <= 2n-3, in the symmetric group S_n.at n=7A097635