13299
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21504
- Proper Divisor Sum (Aliquot Sum)
- 8205
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7200
- Möbius Function
- 1
- Radical
- 13299
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 169
- 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
- no
- Odd
- yes
Appears in sequences
- Number of n-step spirals on hexagonal lattice.at n=19A006777
- Odd 9-gonal (or enneagonal) numbers.at n=31A028991
- a(n) = n*(2*n+5)*(2*n+7).at n=13A035329
- Numbers whose base-5 representation contains exactly three 1's and three 4's.at n=10A045262
- Partial sums of A051877.at n=8A050403
- Partial sums of A051923.at n=8A050494
- Boris Stechkin's function.at n=31A055004
- (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=38A055435
- Expansion of (1+8*x)/(1-x)^9.at n=6A056117
- Numbers k such that k^2 + k + 1, k^3 + k + 1 and k^4 + k + 1 are all prime.at n=37A057683
- A062128 written in base 10.at n=74A062130
- A062129 written in base 10.at n=74A062131
- Ninth column (m=8) of (1,3)-Pascal triangle A095660.at n=7A095664
- Base 10 numbers that are palindromic in bases 2 and 4.at n=40A097856
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2.at n=54A102402
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=40A102538
- Enneagonal numbers whose sum of digits is also enneagonal.at n=9A117051
- Numbers k such that k and k+1 have 4 distinct prime factors.at n=8A140078
- 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, 0, 0), (-1, 0, 1), (0, 0, -1), (0, 1, 0), (1, -1, 0)}.at n=10A148297
- Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations.at n=73A152175