12140
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25536
- Proper Divisor Sum (Aliquot Sum)
- 13396
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4848
- Möbius Function
- 0
- Radical
- 6070
- 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
- 156
- 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 hexagonal close-packing.at n=34A007899
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=17A010023
- Numbers k such that 133*2^k+1 is prime.at n=22A032416
- Expansion of sum ( q^n / product( 1-q^k, k=1..6*n), n=0..inf ).at n=28A035298
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=16A038854
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=36A086120
- a(n) = sum of n-th column in array in A100452.at n=23A100454
- Number of symmetry classes of 3 X 3 magilatin squares with positive values and magic sum n.at n=48A173730
- A generalized Catalan number sequence.at n=23A174015
- Number of numbers <= p^2 with largest prime factor <= p, where p is the n-th prime; a(0) = 1.at n=42A184677
- Number of 4-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=22A187378
- Potential magic constants of a 10 X 10 magic square composed of consecutive primes.at n=11A192087
- Number of 3-divided binary sequences (or words) of length n.at n=13A210109
- Partial sums of A263614 starting at n=2.at n=34A263615
- Numbers n such that Bernoulli number B_{n} has denominator 330.at n=33A272183
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 246", based on the 5-celled von Neumann neighborhood.at n=26A287135
- Numbers k such that A338338(k) is a prime p that ends a run of three terms in A338338 that are divisible by p.at n=36A338344
- a(n) = Sum_{k=1..n-1} lcm(lcm(n, k), lcm(n, n-k)).at n=19A338798
- Number of compositions (ordered partitions) of n into distinct parts, the least being 1.at n=27A339162
- Number of integer partitions of n with all distinct run-sums.at n=36A353837