Properties of the Number 27707

Twenty-Seven Thousand Seven Hundred Seven

Basics

Value: 27706 → 27707 → 27708

Parity: odd

Prime: No

Previous Prime: 27701

Next Prime: 27733

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 103 × 269

Divisors: 1, 103, 269, 27707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000111011

Octal: 66073

Duodecimal: 1404B

Hexadecimal: 6c3b

Square: 767677849

Square Root: 166.45419790440852

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

The largest number m such that σ(m) = A007368(n), where A007368(n) = the smallest k such that σ(x) = k has exactly n solutions. A184394

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 286", based on the 5-celled von Neumann neighborhood. A280564

Index where prime(n) appears as a term in A379442. A379558

Expansion of ∏_k>=1 ((1+x^k) / ((1-x^2·k-1) * (1-x^8·k-4))). A280908

Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303035

Coefficients in the series (1 + 2x² + 3x³ + 5x⁵ + 7x⁷ + 11x¹¹ + 13x¹³ + ... )/(1 - x - 4x⁴ - 6x⁶ - 8x⁸ - 9x⁹ - 10x¹⁰ - 12x¹² - 14x¹⁴ - ... ). A58356

Number of permutations of 4 copies of 1..n avoiding adjacent step pattern up, down, up, down, up. A177652

Central quadrinomial coefficients: largest coefficient of (1 + x + x² + x³)ⁿ. A5190

Primes with odd number of 1's in binary expansion such that next prime also has odd number of 1's. A27707