5756
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4324
- 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
- 2876
- Möbius Function
- 0
- Radical
- 2878
- 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
- 129
- 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 n-step self-avoiding walks on cubic lattice ending at point with x=3.at n=4A000762
- a(n) = a(n-2) + a(n-3), with a(0) = 0, a(1) = 1, a(2) = 4.at n=30A007309
- (n-th Lucas number that is not 1) - (n-th number that is 1 or not a Lucas number).at n=16A014244
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=8A020415
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=33A035961
- Nearest integer to log(n^n)^(1 + log(n)).at n=7A062478
- a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals 3n.at n=33A070899
- Number of ternary necklaces of length n with no subsequence 00.at n=10A093331
- Numbers k such that k and k^2 use only the digits 1, 3, 5, 6 and 7.at n=10A137033
- Consecutive Waterman having identical vfe counts yet different hulls.at n=40A159033
- Half the difference between the larger and smaller term of the n-th amicable pair.at n=16A162884
- Smallest number with "natural" logarithm n, cf. A061373.at n=30A182061
- G.f. satisfies: A(x) = 1 + x*A(x)*A(-x) + x^2*(A(x) + A(-x)).at n=25A208887
- Number of partitions of n into exactly 6 different parts with distinct multiplicities.at n=17A212117
- Number of (w,x,y) with all terms in {0,...,n} and w < range{w,x,y}.at n=23A212967
- Number of n-step self-avoiding walks on cubic lattice ending at point with x = k.at n=31A227338
- Numbers k such that k, k+1, k+2, and k+3 are not divisible by any of their nonzero digits.at n=20A244358
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7.at n=3A251869
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7.at n=0A251872
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7.at n=6A251876