10624
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21420
- Proper Divisor Sum (Aliquot Sum)
- 10796
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5248
- Möbius Function
- 0
- Radical
- 166
- Omega Function (Ω)
- 8
- 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
- 117
- 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 Boolean functions of n variables that are variously called "unate cascades" or "1-decision list functions" or "read-once threshold functions".at n=4A005612
- Number of labeled servers of dimension 3.at n=6A027390
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 51.at n=33A031549
- Numerators of continued fraction convergents to sqrt(838).at n=4A042618
- Number of non-unitary divisors of n!.at n=16A048657
- Number of ordered factorizations with 2 levels of parentheses indexed by prime signatures.at n=18A050357
- Number of nonsquare divisors of n!.at n=16A056596
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=33A060675
- Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives total population of triangles at n-th generation.at n=18A061777
- Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k.at n=46A062923
- Lesser of two consecutive numbers each divisible by a fourth power.at n=21A068782
- Position of prime(n)# in A025487.at n=13A098719
- Number of partitions of n into Fibonacci number of integer parts.at n=42A102848
- 8-almost primes p*q*r*s*t*u*v*w relatively prime to p+q+r+s+t+u+v+w.at n=40A110296
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=33A115176
- Scaled convolution of (n^3)*A000984(n) with A000984(n).at n=15A142962
- 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, 0), (-1, 1, -1), (0, 1, 1), (1, -1, 0), (1, 1, 1)}.at n=7A150749
- 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, 1, -1), (0, 1, 1), (1, -1, 0), (1, 1, 1)}.at n=7A150750
- a(n) = 10^n+5^n-1.at n=4A155637
- a(n) = 625*n - 1.at n=16A158374