13176
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 37200
- Proper Divisor Sum (Aliquot Sum)
- 24024
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 366
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones.at n=7A031787
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=39A038852
- a(n) in base 11 is a repdigit.at n=39A048335
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=30A060664
- Positive numbers whose product of digits is 7 times their sum.at n=37A062384
- Number of hexagonal regions in regular n-gon with all diagonals drawn.at n=48A067153
- Nonprimes which terminate in their sum of prime factors.at n=38A071173
- A014486-indices of A083932-trees.at n=33A083934
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 6.at n=29A091774
- Number of paths from (0,0) to (3n,0) that stay in the first quadrant (x,y >= 0) and where each step is (3,0), (2,1), (1,2), or (1,-1).at n=5A107708
- Numbers with at least two 3s in their prime signature.at n=32A109399
- Composite numbers n such that the sum of prime factors of n (counted with multiplicity) terminates n as a substring.at n=37A143993
- Number of ways to place 3 nonattacking zebras on a 3 X n board.at n=14A172221
- Numbers of the form p^3*q^3*r where p, q, and r are prime.at n=21A179688
- Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.at n=28A183053
- Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y<3z.at n=12A212508
- Number of (w,x,y,z) with all terms in {1,...,n} and w + x > 2y + 2z.at n=18A212564
- Number of compositions of n where differences between neighboring parts are in {-2,...,2}.at n=16A214255
- Number of white square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=8A230985
- Number of black square subarrays of (n+1)X(4+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=8A231068