13311
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 8289
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 1479
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- a(n) = (n+3)*2^n - 1.at n=11A006589
- a(n) = n*(23*n + 1)/2.at n=34A022281
- "BIK" (reversible, indistinct, unlabeled) transform of 1,3,5,7...at n=9A032127
- Numbers having only digits 1 and 3 in their decimal representation.at n=42A032917
- Numbers with multiplicative digital root value 9.at n=28A034056
- Sums of 12 distinct powers of 2.at n=25A038463
- Numbers k such that 3*5^k - 2 is prime.at n=23A057917
- Nonprimes whose sum of digits is equal to its product of digits.at n=37A066307
- Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed.at n=17A066484
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=28A068484
- a(n) = Sum_{d|n} phi(d^4).at n=10A068970
- Row sums of triangle A099527, so that a(n) = Sum_{k=0..n} coefficient of z^k in (2 + 3*z + z^2)^(n-[k/2]), where [k/2] is the integer floor of k/2.at n=7A099528
- Cubeful numbers whose neighbors are also cubeful.at n=5A122692
- Numbers k such that k and k^2 use only the digits 1, 2, 3, 7 and 8.at n=4A136982
- a(n) is the smallest positive integer m with exactly n ones in its binary representation and with n represented in binary as a substring of the binary representation of m.at n=11A147760
- a(n) = 512n - 1.at n=25A158011
- a(n) = 1024*n - 1.at n=12A158421
- a(n) = 52*n^2 - 1.at n=15A158640
- Numbers k such that 13 is the largest prime factor of k^2 - 1.at n=31A181451
- a(n) = 13*2^n-1.at n=10A198274