13307
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15216
- Proper Divisor Sum (Aliquot Sum)
- 1909
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11400
- Möbius Function
- 1
- Radical
- 13307
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Floor of expansion (1+e*x)^Pi.at n=22A109272
- Number of permutations of length n which avoid the patterns 2134, 3241, 4312.at n=9A116753
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 111-110-111 pattern in any orientation.at n=10A146287
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1110-0111-0100 pattern in any orientation.at n=15A146734
- a(n) = 343*n - 70.at n=38A157374
- Number of points defined by the lines described in A222267.at n=2A222268
- The smallest positive number of the form 3^n-2^a-2^b.at n=10A292425
- Partitions into parts with frequency less than or equal to their place in the list of summands.at n=48A295261
- a(n) is the number of edges formed by n-secting the angles of a heptagon.at n=29A335759