13576
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25470
- Proper Divisor Sum (Aliquot Sum)
- 11894
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6784
- Möbius Function
- 0
- Radical
- 3394
- 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
- 37
- 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 paraffins.at n=30A006001
- Pisot sequence E(9,15), a(n) = floor( a(n-1)^2/a(n-2) + 1/2 ).at n=14A014003
- Revert transform of (1 + x - x^2) / (1 + x)^2.at n=11A049125
- 1 - (5/6)*n + (5/2)*n^2 + (10/3)*n^3 + n^4.at n=10A057675
- Smallest multiple of n that begins with the concatenation of the positive integers <= n and coprime to n (in increasing order).at n=7A078217
- Triangle of Schroeder paths counted by number of diagonal steps not preceded by an east step.at n=37A108916
- Digit sum of Fibonacci primes.at n=26A139537
- Number of ways to place 3 nonattacking knights on a 3 X n board.at n=15A172212
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n+1.at n=32A211142
- Triangle read by rows, T(n,k) for 0<=k<=n, generalizing A098742.at n=40A216916
- Expansion of (G(-x) / chi(-x))^2 in powers of x where chi() is a Ramanujan theta function and G() is a Rogers-Ramanujan function.at n=29A261866
- p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = (1 - S^2).at n=28A289918
- Sum of the corners of a 2n+1 X 2n+1 square spiral.at n=28A325958
- G.f. = Phi^4, where Phi = g.f. for A028930.at n=31A328529
- Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 4*x, p(n,x) = u*p(n-1,x) + v*p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2*x - x^2.at n=30A367298
- Expansion of 1 / ((1-x)^2 - x^6).at n=25A392541