13766
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 20652
- Proper Divisor Sum (Aliquot Sum)
- 6886
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6882
- Möbius Function
- 1
- Radical
- 13766
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- yes
- Odd
- no
Appears in sequences
- [ (4th elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+3 primes}.at n=5A024454
- Expansion of 1/((1-2x)(1-9x)(1-11x)(1-12x)).at n=3A028023
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=33A032549
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 4).at n=49A035549
- Numbers k > 1 such that, in base 5, k and k^2 contain the same digits in the same proportion.at n=5A061659
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=34A062944
- Numbers whose Matula tree is a binary tree (i.e., root has degree 2 and all nodes except root and leaves have degree 3).at n=13A111299
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=23A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=24A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=26A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=27A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=31A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=32A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=35A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=36A127302
- Matula-Goebel signatures for plane binary trees encoded by A014486.at n=45A127302
- Number of right triangles on an (n+1) X 5 grid.at n=21A189809
- Number of nX3 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=12A201446
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=39A224668
- Triangle read by rows: row n>=1 contains in increasing order the Matula numbers of the rooted binary trees with n leaves.at n=13A245824