13784
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25860
- Proper Divisor Sum (Aliquot Sum)
- 12076
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6888
- Möbius Function
- 0
- Radical
- 3446
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- McKay-Thompson series of class 34a for the Monster group.at n=40A058639
- a(n) = 2*a(n-1) + 10*a(n-2), with a(0) = 1, a(1) = 12.at n=6A083101
- Sequence arising from the factorization of F(n) = A083102(n-1) and L(n) = A127261. F(0) = 0, F(1) = 1, F(n) = 2*F(n-1)+10*F(n-2), L(0) = 2, L(1) = 2, L(n) = 2*L(n-1)+10*L(n-2).at n=6A127608
- a(n) = 2*a(n-1) + 10*a(n-2), a(0)=1, a(1)=1.at n=7A133294
- Expansion of 1/(1 - x - x^2 + x^3 - x^7 + x^9 - x^11).at n=35A147663
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, -1), (1, 0, 1), (1, 1, 1)}.at n=7A150946
- Expansion of 1/((1 - x^3 - x^4)*(1 + x)).at n=57A175790
- Number of 0..n arrays x(0..10) of 11 elements with zero 5th differences.at n=44A200373
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w^2>x^2+y^2.at n=19A211631
- Number of partitions of n into exactly 5 different parts with distinct multiplicities.at n=26A212116
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n.at n=32A212247
- Number of 4 X n 0..1 arrays with rows unimodal and antidiagonals nondecreasing.at n=7A224411
- Numbers of quasi-espalier polycubes of a given volume (number of atomic cells).at n=29A230118
- Number of compositions of n into parts 3,4 where both parts are always present.at n=54A245487
- Number of ways writing n^2 as a sum of four squares: a(n) = A000118(n^2).at n=41A267326
- L(p) modulo p^2, where p = prime(n) and L is a Lucas number (A000032).at n=40A268478
- Wiener index of graph of b.c.c. unit cells in a line = Sum of distances in a b.c.c. row graph.at n=10A273321
- Expansion of Product_{k>=1} ((1 + x)^k - x^k)/((1 + x)^k + x^k).at n=16A307522
- Total number of 1's in the binary expansion of parts in all partitions of n into distinct parts.at n=42A347060