Properties of the Number 78385

Seventy-Eight Thousand Three Hundred Eighty-Five

Basics

Value: 78384 → 78385 → 78386

Parity: odd

Prime: No

Previous Prime: 78367

Next Prime: 78401

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 61 × 257

Divisors: 1, 5, 61, 257, 305, 1285, 15677, 78385

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000110001

Octal: 231061

Duodecimal: 39441

Hexadecimal: 13231

Square: 6144208225

Square Root: 279.9732130043873

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) is the number of connected unlabeled posets with n elements and rank k: triangle read by rows. A342500

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003

Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern). A200180

Euler's totient of numbers which can be written as sum of a positive square and a positive cube. A78385