Properties of the Number 13238

Thirteen Thousand Two Hundred Thirty-Eight

Basics

Value: 13237 → 13238 → 13239

Parity: even

Prime: No

Previous Prime: 13229

Next Prime: 13241

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6619

Divisors: 1, 2, 6619, 13238

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110110110

Octal: 31666

Duodecimal: 77B2

Hexadecimal: 33b6

Square: 175244644

Square Root: 115.05650785592269

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

Square array A(1,k) = A265905(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265905 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275950

a(n) = A153880(A265905(n)); also the first differences of A265905. A265906

Indices i where a run of nonzero values starts in A305671. A305672

Expansion of χ(x²) / φ(x) in powers of·where φ(), χ() are Ramanujan θ functions. A246712

Semiprimes that are the sum of two successive semiprimes and also the sum of three successive semiprimes. A370162

a(n) = number of distinct values of ∏_i=1..r x_i!*i!^x_i, where (x₁, ..., x_r) is an r-tuple of nonnegative integers with ∑_i=1..r i·x_i = n. A102465

Number of compositions of n into 6 parts such that no two adjacent parts are equal. A106355

Largest number <= sqrt(A179204(n)). A241097

The crystallogen sequence (a(n) = A018227(n)-4). A271996

Transpose of array A275950. A275951