Properties of the Number 27609

Twenty-Seven Thousand Six Hundred Nine

Basics

Value: 27608 → 27609 → 27610

Parity: odd

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 9203

Divisors: 1, 3, 9203, 27609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111011001

Octal: 65731

Duodecimal: 13B89

Hexadecimal: 6bd9

Square: 762256881

Square Root: 166.1595618675013

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

T(n,k)=Number of nXk 0..2 arrays with each element equal to either the sum mod 3 of its horizontal and vertical neighbors or the sum mod 3 of its diagonal and antidiagonal neighbors. A183526

Numbers n such that the decimal number concat(7,n) is a square. A273362

Numbers k such that k and 5·k, taken together, are pandigital. A115925

a(n) = 2·n³ - 2·n + 9. A127989

a(n) = n³ + 4·n² - 5·n + 1. A241577

Expansion of 1/(1 - x/(1 - x⁸/(1 - x²⁷/(1 - x⁶⁴/(1 - x¹²⁵/(1 - x²¹⁶/(1 - ... - x^n³/(1 - ...)))))))), a continued fraction. A291146

Number of nX4 0..2 arrays with each element equal to either the sum mod 3 of its horizontal and vertical neighbors or the sum mod 3 of its diagonal and antidiagonal neighbors. A183521

Number of nX5 0..2 arrays with each element equal to either the sum mod 3 of its horizontal and vertical neighbors or the sum mod 3 of its diagonal and antidiagonal neighbors. A183522

a(n) = ceiling(n³*(π/2)). A248198

Least non-partition into positive n-th powers. A27609