13226
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21060
- Proper Divisor Sum (Aliquot Sum)
- 7834
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6208
- Möbius Function
- -1
- Radical
- 13226
- 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
- 94
- 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 generalized partition function.at n=22A002598
- a(n) = T(2*n+1, n+2), T given by A027011.at n=6A027017
- T(n,n+4), T given by A027960.at n=11A027964
- Expansion of 1/((1-5x)(1-6x)(1-11x)(1-12x)).at n=3A028179
- Generating function: 1/((1-x)*(1-x^2)^2*(1-x^3)^3*(1-x^4)^4).at n=23A064349
- n*10^2-1, n*10^2-3, n*10^2-7 and n*10^2-9 are all prime.at n=22A064976
- Binomial transform of [1, 3, 3, 1, 1, -1, 1, -1, 1, ...].at n=34A140226
- a(n) = 529*n + 1.at n=24A158368
- Beach-Williams Pell numbers of type k^2 + 1.at n=13A212082
- Number of partitions of n for which 2*(number of distinct parts) > (number of parts).at n=40A237365
- Number of integer compositions n that are the first sums of a unique nonnegative sequence.at n=16A391643