Properties of the Number 27927

Twenty-Seven Thousand Nine Hundred Twenty-Seven

Basics

Value: 27926 → 27927 → 27928

Parity: odd

Prime: No

Previous Prime: 27919

Next Prime: 27941

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 29 × 107

Divisors: 1, 3, 9, 29, 87, 107, 261, 321, 963, 3103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110100010111

Octal: 66427

Duodecimal: 141B3

Hexadecimal: 6d17

Square: 779917329

Square Root: 167.11373372646545

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

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+409)² = y². A129641

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 590", based on the 5-celled von Neumann neighborhood. A283178

Expansion of x²*(-3+4·x)/(1-x³+x⁴). A110061

Expansion of q / (χ(-q) * χ(-q¹¹))² in powers of q where χ() is a Ramanujan θ function. A123631

L-th order palindromes with L > 2. A89381

Numbers k such that k and k² use only the digits 1, 2, 3, 7 and 9. A136983

φ(n) + φ(reverse(n)) = σ(n). A71846

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, -1), (0, 1, 0), (1, 0, 0)}. A149919

a(1) = 1, for n >= 2 let the digits of a(n-1) be d₁, ..., d_i in base 10. Starting from d₁ do the following procedure: if d_r is divisible by 2, then d_r_new = d_r / 2, otherwise d_r_new = 3·d_r. a(n) = concatenation of d_r_new for r = 1 to i. A306681

Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals. A27927