13134
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 15666
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3960
- Möbius Function
- 1
- Radical
- 13134
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 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
- Expansion of Product_{m>=1} (1 + x^m)^22.at n=4A022587
- a(n) = (p^2 - 1) / 12, where p is the n-th prime of the form 4*k+1.at n=36A109255
- Number of odd parts in all partitions of n into distinct parts.at n=52A116676
- Sum of digits of square is sum of square of digits.at n=37A165550
- Number of 0..n arrays x(0..7) of 8 elements with zero 5th differences.at n=20A200275
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y=R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=11A212751
- Antidiagonal sums of the convolution array A213822.at n=10A213824
- Minimal sum s of n distinct squares such that s is divisible by n.at n=32A215574
- Number of binary strings of length n avoiding 4-antipowers.at n=27A275061
- a(n) is the greatest integer k such that k/Fibonacci(n) < Pi.at n=19A293677
- Numbers k such that Bernoulli number B_{k} has denominator 64722.at n=11A295592
- a(n) = 27*n^2 - 51*n + 24, n>=1.at n=22A304836
- Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=5A317607
- Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=3A317609
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=39A317611
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=41A317611
- Number of endless self-avoiding walks of length n on the simple cubic lattice.at n=5A334326
- a(n) is the smallest number that is the sum of n positive 6th powers in two ways.at n=27A343079