10510
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18936
- Proper Divisor Sum (Aliquot Sum)
- 8426
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4200
- Möbius Function
- -1
- Radical
- 10510
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Representation degeneracies for Ramond strings.at n=15A005306
- Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7).at n=42A017829
- Numbers in which 0,1,2,3,4,5 all occur in base 6.at n=25A031947
- Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's.at n=25A049357
- Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.at n=43A093466
- Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n^2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid.at n=50A093466
- Sum of staircase twin primes according to the rule: top * bottom + next top.at n=8A135286
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 5 and 6.at n=15A136855
- (101^n,1)-Pascal triangle.at n=17A164866
- Partial sums of A253088.at n=25A255048
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 589", based on the 5-celled von Neumann neighborhood.at n=21A273113
- p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - S - S^4.at n=11A290996
- a(n) = prime(n)*prime(n+1) + prime(n+2).at n=25A292926
- Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k.at n=26A333703
- Number of face-connected components of gyrobifastigium cells in the gyrobifastigium honeycomb up to translation, rotation, and reflection of the honeycomb.at n=6A385025