12722
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19086
- Proper Divisor Sum (Aliquot Sum)
- 6364
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6360
- Möbius Function
- 1
- Radical
- 12722
- 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
- 107
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=33A051956
- a(0)=1; a(n) = sigma_1(n) + sigma_2(n) + sigma_3(n).at n=23A092347
- Sum of n-th prime squared and n-th perfect square.at n=28A106587
- Number of (n+2)X(3+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=1A238023
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=7A238026
- Number of (2+2)X(n+2) 0..1 arrays with the (lower) medians of each row unequal to its neighbors and each column equal to its neighbors.at n=2A238028
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 557", based on the 5-celled von Neumann neighborhood.at n=22A272926
- Numbers missing from A001032 despite satisfying the necessary congruence conditions (see comments).at n=29A274469
- Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments).at n=35A274471
- Numbers that are not the difference of two binary palindromes (A006995).at n=32A290393
- Consecutive states of the linear congruential pseudo-random number generator (967*s + 3041) mod 14406 when started at s=1.at n=17A385078
- Expansion of (g/(1 + x*g^2))^3, where g = 1+x*g^4 is the g.f. of A002293.at n=6A391609