13222
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21672
- Proper Divisor Sum (Aliquot Sum)
- 8450
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6000
- Möbius Function
- -1
- Radical
- 13222
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- a(n) = 10000*log_10(n) rounded down.at n=20A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=20A004229
- Numbers k such that k^256 + 1 is prime.at n=34A056995
- a(n) is the smallest number representable in exactly n ways as a sum of 2 palindromes (each of them >= 0).at n=29A115336
- Number of planar n X n X n binary triangular grids symmetric under 120 degree rotation with no more than 4 ones in any 5 X 5 X 5 subtriangle.at n=11A153935
- Numbers k such that R_k + 70 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=18A256761
- Expansion of Product_{k>=1} 1/(1-x^(k+5))^k.at n=37A263361
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 510", based on the 5-celled von Neumann neighborhood.at n=34A272700
- First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers.at n=34A293440
- Numbers that are the sum of an emirp and its reversal in more than one way.at n=22A345408
- Expansion of (x^2*(3*x - 1))/((x - 1)^4*(x + 1)).at n=44A391994