12793
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13968
- Proper Divisor Sum (Aliquot Sum)
- 1175
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11620
- Möbius Function
- 1
- Radical
- 12793
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 76
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the solution to the postage stamp problem with 6 denominations and n stamps.at n=14A001211
- Coordination sequence for MgNi2, Position Ni3.at n=28A009934
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=26A031832
- a(n) = A047881(n) / 2.at n=40A047882
- Numbers k such that 4^k + k is prime.at n=9A057909
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 12 (most significant digit on right).at n=14A061941
- Composite q such that 4^q + q is prime.at n=6A100663
- Partial sums of A102540 (primes that are not Chen primes).at n=37A115606
- Least power of 3 having exactly n consecutive 7's in its decimal representation.at n=7A131546
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=22A135126
- Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.at n=10A135129
- Least number having exactly two odd prime factors that differ by 2*n^2.at n=23A190052
- Number of nX1 0..3 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal.at n=6A206790
- Number of nX7 0..3 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal.at n=0A206796
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal.at n=21A206797
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column, diagonal or antidiagonal.at n=27A206797
- Number of nX7 0..3 arrays avoiding the pattern z z+1 z in any row, column or nw-to-se diagonal.at n=0A206966
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column or nw-to-se diagonal.at n=21A206967
- T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z z+1 z in any row, column or nw-to-se diagonal.at n=27A206967
- Number of nX7 0..3 arrays avoiding the pattern z z+1 z in any row or column.at n=0A207133