Properties of the Number 77397

Seventy-Seven Thousand Three Hundred Ninety-Seven

Basics

Value: 77396 → 77397 → 77398

Parity: odd

Prime: No

Previous Prime: 77383

Next Prime: 77417

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 25799

Divisors: 1, 3, 25799, 77397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111001010101

Octal: 227125

Duodecimal: 38959

Hexadecimal: 12e55

Square: 5990295609

Square Root: 278.2031631739654

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

G.f. A(x) satisfies: A(x) = x·exp(A(-x) + A(-x²)/2 + A(-x³)/3 + A(-x⁴)/4 + ...). A307365

Expansion of (1+31·x-2·x²-2·x³)/(1-16·x²+x⁴). A77397

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..1 introduced in row major order. A204965