12320
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
- 48
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 23968
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 770
- Omega Function (Ω)
- 8
- 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
- 37
- 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
- Triangle read by rows: the Bell transform of the triple factorial numbers A008544 without column 0.at n=15A004747
- Triple factorial numbers a(n) = n!!!, defined by a(n) = n*a(n-3), a(0) = a(1) = 1, a(2) = 2. Sometimes written n!3.at n=14A007661
- Triple factorial numbers: Product_{k=0..n-1} (3*k+2).at n=5A008544
- Expansion of e.g.f.: cosh(tanh(x)*log(1+x)).at n=8A009172
- Theta series of D*_22 lattice.at n=6A022075
- Self-convolution of array T given by A027144.at n=5A027156
- Number of binary codes of length 9 with n words.at n=5A034194
- Number of binary codes (not necessarily linear) of length n with 5 words.at n=8A034200
- Number of points of l_1 norm n in the "diamond" lattice D^+_4.at n=21A035878
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=24A037159
- Positive numbers having the same set of digits in base 6 and base 10.at n=37A037437
- Denominators of continued fraction convergents to sqrt(579).at n=3A042109
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-2)/2.at n=18A047189
- Triangle read by rows: T(n,k) = number of labeled digraphs with n nodes and k arcs and without directed paths of length >=2, with 0 <= k <= floor(n^2/4).at n=45A052296
- Expansion of (1 - x)/(1 - 2*x - 2*x^2 + 2*x^3).at n=11A052528
- a(n) = product of all even numbers between n-th prime and (n+1)-st prime.at n=28A061216
- Numbers k such that k + the reversal of k is a square.at n=44A061230
- Coefficient triangle of certain polynomials N(4; m,x).at n=39A062264
- a(0)=1, a(n) = 8*n*(2*n-1).at n=28A067239
- Multiples of 8 with digit sum 8.at n=36A069543