Properties of the Number 85377

Eighty-Five Thousand Three Hundred Seventy-Seven

Basics

Value: 85376 → 85377 → 85378

Parity: odd

Prime: No

Previous Prime: 85369

Next Prime: 85381

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 149 × 191

Divisors: 1, 3, 149, 191, 447, 573, 28459, 85377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110110000001

Octal: 246601

Duodecimal: 414A9

Hexadecimal: 14d81

Square: 7289232129

Square Root: 292.1934290842284

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

a(n) is the least positive integer that can be expressed as the sum of a prime number and a nonnegative cube in exactly n ways. A365289

a(n) = 1 - 2·n² + 4·n*(1 + 2·n²)/3. A168547

a(n) is the least positive integer that can be expressed as the sum of a prime number and a positive cube in exactly n ways. A365290

Number of dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights) with no valleys at level 0. A191388

a(n) = 15n² + 13n³. A85377