Properties of the Number 13307

Thirteen Thousand Three Hundred Seven

Basics

Value: 13306 → 13307 → 13308

Parity: odd

Prime: No

Previous Prime: 13297

Next Prime: 13309

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 1901

Divisors: 1, 7, 1901, 13307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111111011

Octal: 31773

Duodecimal: 784B

Hexadecimal: 33fb

Square: 177076249

Square Root: 115.35597080342222

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(n) is the number of edges formed by n-secting the angles of a heptagon. A335759

a(n) = 343·n - 70. A157374

Floor of expansion (1+e·x)^π. A109272

Number of points defined by the lines described in A222267. A222268

Expansion of 1/(∑_i>=0 q^2·i*(i+1)/∏_j=0..i (1 - q^2·j+1)²). A294599

Partitions into parts with frequency less than or equal to their place in the list of summands. A295261

The smallest positive number of the form 3ⁿ-2^a-2^b. A292425

Minimal voucher cost for n distinct positive integer vouchers v₁, v₂, ..., v_n, where the cost is defined as v₁ + v₁*v₂ + v₂*v₃ + ... + v_n-1*v_n. A393145

Number of permutations of length n which avoid the patterns 2134, 3241, 4312. A116753

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 111-110-111 pattern in any orientation. A146287