5687
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6384
- Proper Divisor Sum (Aliquot Sum)
- 697
- 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
- 5060
- Möbius Function
- 0
- Radical
- 517
- 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
- 173
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=22A011934
- Expansion of Product_{m>=1} (1+m*q^m)^-11.at n=8A022703
- Numerators of continued fraction convergents to sqrt(310).at n=8A041584
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/2.at n=21A047169
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/2.at n=21A047170
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 22 (most significant digit on right).at n=26A061951
- Leading diagonal of A100781.at n=46A100783
- Eigentriangle of triangle A022167: T(n,k) = A022167(n,k) * A125813(k).at n=19A143777
- a(n) = (2*n + 1)*(5*n + 6).at n=23A153127
- Number of lower triangles of a 3 X 3 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one.at n=33A194932
- Length of binary representation of Fibonacci(2^n).at n=13A215422
- Total number of smallest parts that are also emergent parts in all partitions of n.at n=35A220479
- Number of distinct values of the sum of i*(i-1) over 7 realizations of i in 0..n.at n=41A225287
- Alternating sum of cubes, i.e., Sum_{k=0..n} k^p*q^k for p=3, q=-1.at n=22A232599
- Recurrence: a(n) = Sum_{k=0..n-1} a(k)*C(n+1,k), a(0)=1.at n=5A256006
- Smaller of pairs (m, n), such that the difference of their squares is a cube and the difference of their cubes is a square.at n=3A261296
- Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.at n=19A278352
- Number of initial digits of ternary Pi wherein the digit counts of zeros and twos are exactly equal.at n=49A278978
- Euler transform of the Fubini numbers (ordered Bell numbers, A000670).at n=6A290352
- Coordination sequence T2 for Zeolite Code CDO.at n=45A301004