Properties of the Number 1585

One Thousand Five Hundred Eighty-Five

Basics

Value: 1584 → 1585 → 1586

Parity: odd

Prime: No

Previous Prime: 1583

Next Prime: 1597

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 317

Divisors: 1, 5, 317, 1585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110001

Octal: 3061

Duodecimal: B01

Hexadecimal: 631

Square: 2512225

Square Root: 39.81205847478876

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

Riordan numbers: a(n) = (n-1)*(2·a(n-1) + 3·a(n-2))/(n+1). A5043

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Y-toothpick sequence (see Comments lines for definition). A160120

Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed). A23108

Number of compositions of n such that each part is adjacent to an equal part. A114901

Numbers m such that the Bernoulli number B_2·m has denominator 66. A51229

Inverse binomial matrix applied to A039599. A89942

Triangle read by rows: T(n,k) = number of Dyck paths of semilength n having k peaks at odd height. A91867

Centered 24-gonal numbers. A69190

Values of n such that L(11) and N(11) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227449

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