12432
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 37696
- Proper Divisor Sum (Aliquot Sum)
- 25264
- 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
- 1554
- 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
- yes
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 of tangent numbers.at n=27A008308
- Expansion of e.g.f. sec(sin(x)*sin(x)), even powers only.at n=4A012302
- sec(tan(x)*sin(x))=1+12/4!*x^4+120/6!*x^6+12432/8!*x^8...at n=4A012373
- a(n) = (-1 + prime(n+1)^2)/4.at n=46A024701
- Hexagonal matchstick numbers: a(n) = 3*n*(3*n+1).at n=37A045945
- Let (u1,u2) be successive untouchable numbers such that phi(u1) = phi(u2) = k; sequence gives values of k.at n=43A048191
- Number of certain stackings of n+1 squares on a double staircase.at n=16A055244
- Triangle T(n,k) (1 <= k <= n) of tangent numbers, read by rows: T(n,k) = coefficient of x^n/n! in expansion of (tan x)^k/k!.at n=50A059419
- A diagonal of A059419.at n=5A059421
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=30A060665
- Numbers n such that phi(sigma(n)) = 5*phi(n).at n=5A067708
- Numbers n such that the Diophantine equation x^4+y^5=n^4 has solutions.at n=25A070756
- Fifth convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself.at n=5A073382
- Triangle T(n,k) read by rows, where e.g.f. for T(n,k) is exp(x*y)*log(1+x)/(1-x).at n=30A073480
- (n / product of digits of n) is a semiprime.at n=29A085773
- Triangle T(n,m) read by rows: matrix product A053121 * A038207.at n=47A096164
- a(n) = 4*n*(4*n - 1).at n=28A104188
- Triangle of Delannoy paths counted by number of diagonal steps not preceded by an east step.at n=30A110446
- Triangle of tanh numbers.at n=61A111593
- Dividuus numbers: numbers which are divisible by (1) the sum of their digits,(2) the product of their digits,(3) the digital root and (4) the multiplicative digital root.at n=46A118575