12610
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
- 16
- Divisor Sum
- 24696
- Proper Divisor Sum (Aliquot Sum)
- 12086
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 1
- Radical
- 12610
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 63
- 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
- a(n) = Sum_{d|n} p(d), where p(d) = A000041 = number of partitions of d.at n=33A047968
- Distribution of maximum inversion table entry.at n=47A056151
- First differences of A003063.at n=8A056182
- Duplicate of A056182.at n=7A081956
- a(n) = (p^2 - 1) / 12, where p is the n-th prime of the form 4*k+1.at n=35A109255
- a(n) is the smallest term m in A173978 for which A020639(2m-3) = prime(n), n > 1.at n=34A173980
- Number of permutations of 0..(n-1) representable as 1,2,1-weighted consecutive sums of 3 adjacent elements of a sequence of n+2 nonnegative integers.at n=10A180213
- Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938.at n=37A199400
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and nonnegative even determinant.at n=13A210371
- Triangle by rows, A001047 convolved with A000079.at n=43A230435
- Numbers k that are the product of four distinct primes such that x^2+y^2 = k has integer solutions.at n=16A248712
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=29A273394
- Numbers k such that 8*10^k - 99 is prime.at n=22A280016
- Number of nX5 0..1 arrays with every element equal to 0, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.at n=9A298779
- Number of achiral color patterns (set partitions) for a row or loop of length n using exactly 3 colors (sets).at n=18A304973
- G.f. A(x) satisfies A(x) = 1/( (1+x) * (1 - x^2*A'(x)) ).at n=10A386239