5630
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10152
- Proper Divisor Sum (Aliquot Sum)
- 4522
- 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
- 2248
- Möbius Function
- -1
- Radical
- 5630
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 160
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=22A002513
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = (composite numbers).at n=21A025081
- a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2.at n=36A027575
- Expansion of 1/((1-3x)(1-4x)(1-7x)(1-11x)).at n=3A028041
- Theta series of 6-dimensional lattice of det 8.at n=36A029543
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 30.at n=4A031708
- Numbers whose base-7 representation contains exactly four 2's.at n=17A043404
- Partial sums of the sequence (A001097) of twin primes.at n=39A048598
- Numbers k such that 2^k - 3 is prime.at n=31A050414
- McKay-Thompson series of class 32B for the Monster group.at n=32A058630
- Number of digits in A110788(n).at n=13A110789
- Triangle, read by rows, equal to the matrix cube of A113381.at n=11A113387
- The difference between the largest part and the smallest part summed over all those partitions of n in which every integer from the smallest part to the largest part occurs.at n=40A117471
- Positions of high-water marks of A118421.at n=39A118423
- Lengths of bit runs in A123506.at n=60A123507
- Numbers n such that n^k+(n+1)^k is prime for k = 1, 2, 4.at n=32A128780
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, -1, 1), (0, 1, -1), (1, 0, 1)}.at n=8A148953
- Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0)}.at n=8A151371
- a(n) = 225*n^2 + n.at n=4A156814
- a(n) = 25*n^2 + 5.at n=14A158445