13650
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 41664
- Proper Divisor Sum (Aliquot Sum)
- 28014
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 2730
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Degrees of irreducible representations of Fischer group Fi22.at n=8A003913
- Successive integers produced by Conway's PRIMEGAME.at n=29A007542
- Expansion of Product_{k>=1} (1 - x^k)^13.at n=32A010820
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=37A011779
- Number of reversible strings with n-1 beads of 2 colors. 4 beads are black. String is not palindromic.at n=25A032091
- All 81 combinations of prefixing and following a(n) by a single digit are nonprime.at n=6A032734
- Composite numbers k such that all the decimal concatenations ik and ikj (i, j = 1...9) are also composite.at n=4A032737
- Number of diagonal dissections of an n-gon into 4 regions.at n=8A033276
- a(n) = n*(n+1)*(5*n+1)/6.at n=24A033994
- Sum of n-th powers of divisors of 96.at n=2A034672
- (Terms in A028286)/2.at n=40A051359
- a(n) = (1/6)*(2*n - 3)*(n + 2)*(n + 1).at n=36A058373
- Coefficients of replicable function number "32b".at n=37A058632
- Degrees of irreducible representations of alternating group A_14.at n=35A060717
- a(n) is the smallest positive integer such that a(n)*(1^n + 2^n + ... + x^n) is a polynomial in x with integer coefficients.at n=24A064538
- (Sum of digits of n)^5 - (sum of digits^5 of n).at n=25A069965
- Integers k such that omega(k) = omega(k-1) + omega(k-2) + omega(k-3), where omega(n) is the number of distinct prime factors of n.at n=8A076252
- Matrix product of Stirling2-triangle A008277(n,k) and unsigned Stirling1-triangle |A008275(n,k)|.at n=23A079641
- Expansion of (1+x)*(1+4*x)/((1-x)*(1-4*x)).at n=6A086462
- Matrix product of Stirling2-triangle A008277(n,k) and unsigned Lah-triangle |A008297(n,k)|.at n=24A088729