Properties of the Number 66419

Sixty-Six Thousand Four Hundred Nineteen

Basics

Value: 66418 → 66419 → 66420

Parity: odd

Prime: No

Previous Prime: 66413

Next Prime: 66431

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17 × 3907

Divisors: 1, 17, 3907, 66419

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001101110011

Octal: 201563

Duodecimal: 3252B

Hexadecimal: 10373

Square: 4411483561

Square Root: 257.71883904751706

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

Expansion of 1/(1 - x - x² + x⁶ - x⁸). A225393

Expansion of ∏_k>=1 (1 + x^k)^k / (1 + x^4·k)^4·k. A285292

Total sum of odd parts in the last section of the set of partitions of n. A206435

Number of nX3 0..1 arrays with every element unequal to 0, 1 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317768

a(1) = 1 and thereafter a(n) = a(n-1) + j(n-1) where j(1) = 1 and then j(n) = j(n-1)-1 if a(n) is composite or j(n) = 2·j(n-1) if a(n) is prime. A382671

Numbers k such that k! is not divisible by the sum of the decimal digits of k!. A66419