Properties of the Number 13236

Thirteen Thousand Two Hundred Thirty-Six

Basics

Value: 13235 → 13236 → 13237

Parity: even

Prime: No

Previous Prime: 13229

Next Prime: 13241

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1103

Divisors: 1, 2, 3, 4, 6, 12, 1103, 2206, 3309, 4412

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001110110100

Octal: 31664

Duodecimal: 77B0

Hexadecimal: 33b4

Square: 175191696

Square Root: 115.04781614615725

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

Expansion of e.g.f. exp(4x) * I₀(2x). A81671

Numbers n such that n²⁰⁴⁸ + 1 is prime (a generalized Fermat prime). A88361

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k·x)*BesselI(0,2·x). A292627

5-untouchable numbers. A284187

a(n) is the number of integer partitions of n for which the Kimberling index is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318177

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,2*(n-2·k)). A392251

Numbers n > 1 such that the sum of the distinct prime divisors of n² + 1 that are congruent to 1 mod 8 equals the sum of the distinct prime divisors congruent to 5 mod 8. A215950

Numbers k such that k² + 1 is divisible by precisely four distinct primes where the sum of the largest and the smallest is equal to the sum of the other two. A192770

Number of permutations p of 1,2,...,n satisfying |p(i+3)-p(i)|<>5 and |p(j+5)-p(j)|<>3 for all i=1..n-3, j=1..n-5. A189569

Number of ways to place n nonattacking composite pieces rook + rider[3,5] on an n X n chessboard. A189859