12852
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 27468
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 714
- Omega Function (Ω)
- 7
- 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
- 24
- 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
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=24A008654
- Coordination sequence for CaF2(1), Ca position.at n=38A009923
- Number of Barlow packings with group P63mc that repeat after 2n layers.at n=14A011948
- Even heptagonal numbers (A000566).at n=36A014640
- a(n) = floor( n(n+1)(n+2)(n+3)(n+4) / (n+(n+1)+(n+2)+(n+3)+(n+4)) ).at n=14A032768
- Integer quotients of n(n + 1)(n + 2)(n + 3)(n + 4) / (n+(n+1)+(n+2)+(n+3)+(n+4)).at n=11A032770
- Positive integers of the form n(n+1)(n+2)(n+3)(n+4)/(n+(n+1)+(n+2)+(n+3)+(n+4)) that are a multiple of n.at n=8A032794
- Numbers k such that phi(k) is equal to A008473(k).at n=11A039779
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 1 skipped prime.at n=10A050768
- Let N(k) and D(k) be the sequences defined in A054765 and A012244; write N(k)* D(k+j ) - N(k+j)*D(k) = (-1)^(k+1)*(k!)^2*P(k) where P(k) is a polynomial in k of degree j-1; sequence gives coefficients of expansion of P(k) in powers of k for j=1,2,3,...at n=29A054798
- Low-temperature susceptibility expansion for hexagonal lattice (Potts model, q=4).at n=12A057387
- Numbers k such that sigma(k) = 2*usigma(k).at n=37A063880
- Number of n-digit terms of A070153.at n=47A071297
- Products x*y*z arising from A102495.at n=23A102509
- Products x*y*z arising from A102505.at n=16A102793
- A117965 sorted, with repetition.at n=52A115947
- Heptagonal numbers for which the sum of the digits is also a heptagonal number.at n=18A117650
- Heptagonal numbers divisible by 7.at n=21A117795
- Triangle read by rows: T(i,j) = F(i)*F(j)*C(i,j) for 1 <= j <= i, where F(n) is the n-th Fibonacci number and C(n,m) is a binomial coefficient.at n=39A117965
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k DL's (n>=0; 0<=k<=floor(n/2)).at n=33A128731