Properties of the Number 12226

Twelve Thousand Two Hundred Twenty-Six

Basics

Value: 12225 → 12226 → 12227

Parity: even

Prime: No

Previous Prime: 12211

Next Prime: 12227

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 6113

Divisors: 1, 2, 6113, 12226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000010

Octal: 27702

Duodecimal: 70AA

Hexadecimal: 2fc2

Square: 149475076

Square Root: 110.57124400132251

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

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. A96541

Number of asymmetric mobiles (circular rooted trees) with n nodes and 3 leaves. A55364

Number of partitions of n into "number of partitions of n into partition numbers" numbers. A130898

a(n) = 49·n² - 20·n + 2. A157373

a(n) = floor( n^π ). A61294

Numbers m such that A006218(m) is a perfect square. A175345

G.f.: A(x) = exp( ∑_n>=1 G_n(x)ⁿ/n ) where G_n(x) = x + x·G_n(x)ⁿ and A(x) = ∑_n>=1 a(n)*xⁿ/floor(n/2)!. A194558

Number of compositions (ordered partitions) of n into an even number of cubes. A339420

a(n) is the Wiener index of a tridon on n vertices. A349418

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826