5576
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
- 16
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 5764
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2560
- Möbius Function
- 0
- Radical
- 1394
- Omega Function (Ω)
- 5
- 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
- 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
- 10-gonal (or decagonal) pyramidal numbers: a(n) = n*(n + 1)*(8*n - 5)/6.at n=16A007585
- Coordination sequence T2 for Zeolite Code EPI.at n=47A008091
- Coordination sequence T3 for Zeolite Code MEP.at n=44A008159
- Coordination sequence T7 for Zeolite Code MTT.at n=46A008195
- Coordination sequence T2 for Zeolite Code NON.at n=45A008213
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t(n)=2*n+1 (odd numbers).at n=30A023865
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=41A024920
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=23A028660
- Number of ternary words of length n (beginning 0) with autocorrelation function 2^(n-1)+1.at n=9A045695
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=25A049480
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=42A051864
- Triangle, read by rows, T(n,k) = A000129(n+1) - Sum_{j=1..k} t(n+1, j), where t(n, k) is defined in the formula section.at n=58A103415
- Largest member z of a triple 0<x<y<z such that z^2-y^2, z^2-x^2 and y^2-x^2 are perfect squares.at n=32A111105
- Least multiple of n such that every partial concatenation followed by a 1 is prime.at n=40A111436
- McKay-Thompson series of class 20A for the Monster group.at n=19A112158
- Diagonal sums of correlation triangle for Catalan numbers.at n=9A115254
- Number of partitions of n such that if the smallest part is k, then both k and k+1 occur exactly once.at n=47A118267
- A diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros.at n=6A122451
- Numbers k such that k^2 divides 9^k - 1.at n=25A127101
- Ceiling(4/3*Pi*n^3).at n=11A135973