13624
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 27720
- Proper Divisor Sum (Aliquot Sum)
- 14096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- 0
- Radical
- 3406
- 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
- 63
- 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
- Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5), a(0)=a(1)=a(2)=a(3)=0, a(4)=1.at n=19A001591
- Positive numbers k such that k and 4*k are anagrams in base 7 (written in base 7).at n=13A023070
- T(2n,n-4), T given by A026769.at n=4A026881
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 37 ones.at n=1A031805
- Least a(n) such that the period of continued fraction for sqrt(a(n)) has at least n successive 1's.at n=11A060215
- A014486-encoding of symmetric binary trees.at n=5A083941
- Number of compositions of 3n with each part less than or equal to n.at n=5A090667
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=34A116014
- Numbers k such that there is a bigger number m satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=28A124140
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+833)^2 = y^2.at n=29A129010
- The Wiener index of the graph \|/_\/_\/_..._\/_\|/ having n nodes on the horizontal path.at n=17A180571
- Sums of least knight's moves from (0,0) to points in the square lattice [-n,n]x[-n,n].at n=20A183047
- Number of distinct sums of subsets of the first n squares {1,4,9,...,n^2}.at n=33A208531
- Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and positive determinant.at n=5A211148
- Number of (n+5)X9 0..1 matrices with each 6X6 subblock idempotent.at n=8A224573
- Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=4A235092
- Number of (n+1) X (5+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=1A235095
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=16A235098
- T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=19A235098
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is a part.at n=39A241414