12226
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18342
- Proper Divisor Sum (Aliquot Sum)
- 6116
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6112
- Möbius Function
- 1
- Radical
- 12226
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 156
- Smith Number
- yes
- 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
- Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x.at n=23A047826
- Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves.at n=25A055364
- a(n) = floor( n^Pi ).at n=19A061294
- Number of parts unequal to 1 in all partitions of the integer n. Also the difference between the labeled and the unlabeled case of one-element transitions from the partitions of n to the partitions of n+1.at n=26A096541
- a(n) = 3 + floor((2 + Sum_{j=1..n-1} a(j))/4).at n=37A120162
- a(n) = floor(((1+sqrt(2))/2)^n).at n=49A125894
- Number of partitions of n into "number of partitions of n into partition numbers" numbers.at n=47A130898
- a(n) = 49*n^2 - 20*n + 2.at n=15A157373
- Numbers m such that A006218(m) is a perfect square.at n=33A175345
- G.f.: A(x) = exp( Sum_{n>=1} G_n(x)^n/n ) where G_n(x) = x + x*G_n(x)^n and A(x) = Sum_{n>=1} a(n)*x^n/floor(n/2)!.at n=10A194558
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 57", based on the 5-celled von Neumann neighborhood.at n=26A270077
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 305", based on the 5-celled von Neumann neighborhood.at n=26A271162
- a(n) = PrimePi(A246033(n)) (where PrimePi = A000720).at n=38A290652
- Number of compositions (ordered partitions) of n into an even number of cubes.at n=52A339420
- a(n) is the Wiener index of a tridon on n vertices.at n=37A349418