Properties of the Number 6407

Six Thousand Four Hundred Seven

Basics

Value: 6406 → 6407 → 6408

Parity: odd

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 43 × 149

Divisors: 1, 43, 149, 6407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100000111

Octal: 14407

Duodecimal: 385B

Hexadecimal: 1907

Square: 41049649

Square Root: 80.04373804364711

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

Number of integer partitions of n whose distinct parts are connected. A304716

Composite and every divisor (except 1) contains the digit 4. A62670

Number of integer partitions of n such that (length) * (maximum) <= 2·n. A361851

Coefficients of a Ramanujan q-series. A143184

a(n) = n*(7·n-3)/2. A218471

Number of integer partitions of n such that (length) * (maximum) < 2n. A361852

Numbers that are the sum of five third powers in exactly seven ways. A345181

Relative of Hofstadter Q-sequence: a(n) = max(0, n+3201) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A373236

Number of partitions p of n such that median(p) > mean(p). A240220

Expansion of 1/((1-x)²*(1-x²)³*(1-x³)²*(1-x⁴)). A210068