5716
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10010
- Proper Divisor Sum (Aliquot Sum)
- 4294
- 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
- 2856
- Möbius Function
- 0
- Radical
- 2858
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- n written in fractional base 8/5.at n=46A024647
- Number of partitions of n in which the least part is even.at n=40A026805
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=51A035585
- Number of partitions satisfying cn(1,5) <= cn(0,5) + cn(2,5) and cn(1,5) <= cn(0,5) + cn(3,5) and cn(4,5) <= cn(0,5) + cn(2,5) and cn(4,5) <= cn(0,5) + cn(3,5).at n=36A039874
- Triangle formed from expansion of (x-1)*(x+2)*(x-3)*...*(x+-n).at n=41A047991
- Number of 3 X n binary matrices with distinct rows, up to row and column permutation; (n,3)-hypergraphs (including empty hyperedge but excluding multiple hyperedges).at n=9A055194
- Coordination sequence T4 for Zeolite Code MTF.at n=45A057307
- Numbers k such that k^512 + 1 is prime.at n=17A057465
- Number of self-conjugate three-quadrant Ferrers graphs that partition n.at n=45A059777
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=24A063366
- a(n) = (n-1)*(n-2)^3 - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2.at n=20A075681
- Number of permutations in the symmetric group S_n such that the size of their conjugacy class is odd.at n=9A088042
- a(n) = A063416(n)/7.at n=43A088409
- a(1)=1. a(n) = a(n-1) + sum of the triangular numbers which are among the first (n-1) terms of the sequence.at n=21A100963
- Number of compositions of n into 4 parts such that no two adjacent parts are equal.at n=30A106353
- a(n) = {n^2}_n.at n=27A122635
- Counts compositions as described by table A047969; however, only those ending with an odd part are considered.at n=61A123685
- Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutations A127377/A127378 and A127387.at n=13A127389
- a(n) = the denominator of the continued fraction [1;floor(n/(n-1)),floor(n/(n-2)),...,floor(n/1)].at n=9A128601
- Coefficients of solution to A(x) = (1 + x*A(x)^2) * (1-3*x) / (1-2*x)^2.at n=8A129086