10612
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21280
- Proper Divisor Sum (Aliquot Sum)
- 10668
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 5306
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=27A006000
- E.g.f.: sin(sin(x)+log(x+1))=2*x-1/2!*x^2-7/3!*x^3+18/4!*x^4-13/5!*x^5...at n=8A012888
- Expansion of e.g.f. sin(sinh(x) + log(x+1)).at n=8A013014
- Polynexus numbers of order 7.at n=7A083200
- Numbers m such that numerator of Sum_{k=1..m} 1/(prime(k)-k) is prime.at n=44A092065
- 3-Smith numbers.at n=33A104391
- a(n) = prime(n)_prime(n).at n=26A122622
- {2n+1}_{2n+1}.at n=51A122643
- 30-gonal numbers: a(n) = n*(14*n-13).at n=28A254474
- Coefficients of mock modular form H_1^(2) of type 2A.at n=24A256058
- Numbers n such that (n-1)^3 + (n+1)^3 is a taxi-cab number (A001235).at n=31A272910
- Number of maximal irredundant sets in the n-Andrásfai graph.at n=11A291053
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2*b(n-1) + b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences.at n=14A294561
- Coordination sequence for "tcd" 3D uniform tiling.at n=37A299287
- Number of edges formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,k)/A006843(n,k), k = 1..A005728(n).at n=3A358888
- a(n) = 5^n - 2*4^(n-1)*(n+4) + 3^(n-2)*(n^2+5*n+9).at n=7A385329