12716
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 25788
- Proper Divisor Sum (Aliquot Sum)
- 13072
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- 0
- Radical
- 374
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 81
- 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
- Coordination sequence for Ni2In, Position Ni2.at n=34A009942
- Expansion of 1/((1-6x)(1-7x)(1-10x)(1-11x)).at n=3A028207
- a(n) = 11*n^2.at n=34A033584
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=33A085446
- Scaled convolution of (n^3)*A000984(n) with A000984(n).at n=16A142962
- Totally multiplicative sequence with a(p) = 9p-1 for prime p.at n=19A166658
- Expansion of 1/(1-x-2*x^2-3*x^3-3*x^4-2*x^5-x^6).at n=11A187003
- Expansion of psi(x^4) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.at n=32A226635
- Number of partitions of n such that if the length is k then k is not a part.at n=35A229816
- Steffensen's bracket function [n,n-3].at n=15A241170
- Number of length n+5+1 0..5 arrays with every value 0..5 appearing at least once in every consecutive 5+2 elements, and new values 0..5 introduced in order.at n=9A242236
- Numbers n such that n!!! - 3^4 is prime.at n=40A247464
- Numbers n such that the smallest prime divisor of n^2+1 is 101.at n=41A248553
- Composites whose prime factorization in base 3 is an anagram of the number in base 3.at n=28A260047
- Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 13440.at n=34A266398
- Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares.at n=18A359445
- Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers.at n=4A378538
- Numbers that are primitive Zumkeller, but not primitive non-deficient.at n=1A378657