12678
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 25368
- Proper Divisor Sum (Aliquot Sum)
- 12690
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- -1
- Radical
- 12678
- Omega Function (Ω)
- 3
- 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
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=31A015663
- Numbers k such that k^10 == 1 (mod 11^4).at n=8A056094
- Least k such that k*11^n +/- 1 are twin primes.at n=46A064220
- Numbers k such that 10^k + 11131719 is prime.at n=11A120300
- Numbers such that all subsets of {a(1)^2,...,a(n)^2} have a different sum.at n=26A138857
- Central terms of Zorach additive triangle (cf. A035312).at n=9A189713
- Number of right triangles on an (n+1) X 5 grid.at n=20A189809
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=29A221817
- Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=6A221818
- Number of n X 1 0..2 arrays with every repeated value in every row and column greater than the previous repeated value.at n=9A267960
- Number of irreducible integer partitions of n.at n=48A305731
- E.g.f. A(x) satisfies: Sum_{n>=0} 1/n! * exp(n^2*x)/A(x)^n = exp(1).at n=5A316567
- Numbers that are both binary Niven numbers and binary Smith numbers.at n=40A334531
- a(1) = 1; for n > 1, a(n) is the smallest positive integer that has not yet appeared which contains all the distinct digits of the sum of all previous terms a(1)..a(n-1).at n=47A368347