13975
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19096
- Proper Divisor Sum (Aliquot Sum)
- 5121
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10080
- Möbius Function
- 0
- Radical
- 2795
- Omega Function (Ω)
- 4
- 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
- 151
- 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
- no
- Odd
- yes
Appears in sequences
- Ordered sequence of distinct terms of the form floor(x^i * floor(x^j)), i,j >= 0, where x = sqrt(5).at n=35A022770
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=33A026063
- Number of dyslexic identity planted planar trees with n+1 nodes.at n=12A032101
- Number of 5-gonal compositions of n into positive parts.at n=28A069983
- Number of interior balls in a truncated tetrahedral arrangement.at n=15A092966
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=28A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=29A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=30A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=31A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=32A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=33A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=34A096872
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=35A096872
- Numbers n such that 5*10^n + 6*R_n - 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=17A103017
- 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), (0, 0, 1), (0, 1, 0), (1, 0, 0), (1, 1, -1)}.at n=7A151063
- The number of direct isometries that are derangements of the (n-1)-dimensional facets of an n-cube.at n=5A161936
- a(n) = n*(n+1)*(5*n + 4)/6.at n=25A162147
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element at a city block distance of two, and containing the value n(n+1)/2-2.at n=17A212031
- 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=10A212752
- The 240-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=34A244805