13136
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
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 25482
- Proper Divisor Sum (Aliquot Sum)
- 12346
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6560
- Möbius Function
- 0
- Radical
- 1642
- Omega Function (Ω)
- 5
- 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
- 32
- 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 discordant permutations.at n=13A000561
- Convolution of the lower and upper Wythoff sequences (A000201 and A001950).at n=25A023664
- A000013 / 2.at n=18A054538
- Numbers k such that 2^k - 17 is prime.at n=33A059611
- Expansion of (1-x)/(1-2*x-2*x^3).at n=12A077999
- Expansion of (1 + x)/(1 + 2*x + 2*x^3).at n=12A110524
- Number of distinct angles in all integer-sided triangles with all sides <= n.at n=42A123325
- Number of groups of order prime(n)^6.at n=16A232106
- Smallest k such that A002522(k) and A002522(k+2n) are successive primes of the form m^2+1.at n=21A245463
- Number of length 2+2 0..n arrays with the sum of second differences squared multiplied by some arrangement of +-1 equal to zero.at n=22A250321
- a(n) = 3*p^2+39*p+344+24*gcd(p-1,3)+11*gcd(p-1,4)+2*gcd(p-1,5), where p = prime(n).at n=16A269749
- The total number of different isosceles trapezoids, excluding squares, that can be drawn on an n X n square grid where the corners of each individual trapezoid lie on a lattice point.at n=31A272459
- p-INVERT of the odd positive integers, where p(S) = 1 - S^2.at n=9A292480
- a(n) = (p-1)! mod p^3, where p = prime(n).at n=9A330526
- Colombian numbers that are also Bogotá numbers.at n=31A336984
- a(n) is the smallest number that is the sum of n positive 6th powers in two ways.at n=29A343079
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D triangular lattice with periodic boundary conditions.at n=24A365940
- Irregular triangle read by rows: T(n,k) (0 <= k <= n^2) are coefficients of cluster density function for site percolation on an n X n 2D square lattice with periodic boundary conditions.at n=24A365941
- Indices where the cumulative sum of sin(2k+1)^(2k+1) reaches a record high value.at n=29A387706