13304
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24960
- Proper Divisor Sum (Aliquot Sum)
- 11656
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6648
- Möbius Function
- 0
- Radical
- 3326
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 76
- 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
- Number of partitions satisfying cn(0,5) + cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=37A039881
- Numbers having four 2's in base 9.at n=2A043464
- a(1)=1, a(2)=2, a(n+2)=(a(n+1)+a(n))/2 if a(n+1)+a(n) is even, a(n+2)=(3*(a(n+1)+a(n))+1)/2 otherwise.at n=26A069162
- Numbers k such that (273*2^k+1)^2-2 is prime.at n=25A100914
- Numbers k such that (2*k)!/(2*(k!)^2) - 1 is prime.at n=22A112861
- Numbers with no 1's in base 3 & 4 expansions.at n=37A117496
- Number of wing triangulated perfect graphs on n nodes.at n=8A123473
- G.f.: exp( Sum_{n>=1} (x^n/n) * Product_{d|n} (1 + d*x^n) ).at n=39A205478
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} A_k*(x-3)^k.at n=22A246799
- Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.)at n=16A274410
- Erroneous version of A274410.at n=7A274411