Properties of the Number 13227

Thirteen Thousand Two Hundred Twenty-Seven

Basics

Value: 13226 → 13227 → 13228

Parity: odd

Prime: No

Previous Prime: 13219

Next Prime: 13229

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4409

Divisors: 1, 3, 4409, 13227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110101011

Octal: 31653

Duodecimal: 77A3

Hexadecimal: 33ab

Square: 174953529

Square Root: 115.00869532344065

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

a(0) = 16, after which, if a(n-1) = ∏_{k >= 1} (p_k)^c_k, then a(n) = (1/2) * (1 + ∏_{k >= 1} (p_k+1)^c_k), where p_k indicates the k-th prime, A000040(k). A246344

Number of integer partitions of n whose semi-sums do not cover an interval of positive integers. A367403

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192975

Subword complexity of a the infinite word Prod_i>=1 Prod_j=1..i a^j b^i-j+1. A338761

a(0) = 1, a(n) = 25·n² + 2 for n > 0. A10015

Number of 5-ary rooted trees with n nodes and height exactly 4. A36635

Sums of p-th to the q-th prime where p and q are twin primes. A114379

Triangle read by rows: row n consists of the n numbers k such that A075254(k) = A346378(n). A360637

Semiprimes of the form k² + 2. A360739

a(n) is the number of subsets of the first n primes whose sum is not a prime. A364535