Properties of the Number 75985

Seventy-Five Thousand Nine Hundred Eighty-Five

Basics

Value: 75984 → 75985 → 75986

Parity: odd

Prime: No

Previous Prime: 75983

Next Prime: 75989

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 13 × 167

Divisors: 1, 5, 7, 13, 35, 65, 91, 167, 455, 835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10010100011010001

Octal: 224321

Duodecimal: 37B81

Hexadecimal: 128d1

Square: 5773720225

Square Root: 275.6537683399231

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

Generalized Stirling number triangle of first kind read by rows: T(n, k) = [x^k] ∏_m=1..n (x - m - r), with r = 9. A51523

Number of vertices formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the square. A355799

G.f. satisfies: A(x) = (1+x+x²) * A(x²)². A237651

a(n) = floor((5ⁿ)/(3ⁿ - 2ⁿ)). A191695

Number of nonnegative integer arrays of length 2n+5 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value n+1. A211850

Number of species of genus 1 Latin bi-trades of size n. A133163

Array read by antidiagonals: T(n,k) = number of double palindromes of length n using a maximum of k different symbols. A284873

Numbers k such that k⁵ + 6^k is prime. A75985