13013
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17568
- Proper Divisor Sum (Aliquot Sum)
- 4555
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9360
- Möbius Function
- 0
- Radical
- 1001
- Omega Function (Ω)
- 4
- 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
- 45
- 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
- Expansion of 1/((1-x)*(1-4*x)*(1-9*x)).at n=4A002451
- Number of nonseparable tree-rooted planar maps with n + 2 edges and 3 vertices.at n=10A006411
- Triangle of central factorial numbers T(2*n,2*n-2*k), k >= 0, n >= 1 (in Riordan's notation).at n=25A008957
- Positive numbers k such that k and 2*k are anagrams in base 5 (written in base 5).at n=8A023061
- 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=41A023865
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = natural numbers, t = odd natural numbers.at n=40A024862
- Odd numbers in the (2,3)-Pascal triangle A029600.at n=62A029604
- Odd numbers in the (2,3)-Pascal triangle A029600 that are different from 3.at n=48A029606
- Distinct odd numbers in (2,3)-Pascal triangle A029600.at n=43A029608
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=57A029614
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600 that are different from 3.at n=43A029615
- Odd numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=29A029616
- Odd numbers in (3,2)-Pascal triangle A029618.at n=61A029622
- Odd numbers in (3,2)-Pascal triangle A029618 that are different from 3.at n=46A029624
- Distinct odd numbers in (3,2)-Pascal triangle A029618.at n=41A029626
- Numbers to left of central elements of the (3,2)-Pascal triangle A029618 that are different from 3.at n=47A029629
- Odd numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=32A029630
- Distinct odd numbers in the (1,2)-Pascal triangle A029635.at n=49A029642
- Numbers to the right of the central elements of the (1,2)-Pascal triangle A029635 that are different from 2.at n=50A029649
- Odd numbers to the right of the central elements of the (1,2)-Pascal triangle A029635.at n=30A029650