Properties of the Number 2385

Two Thousand Three Hundred Eighty-Five

Basics

Value: 2384 → 2385 → 2386

Parity: odd

Prime: No

Previous Prime: 2383

Next Prime: 2389

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 53

Divisors: 1, 3, 5, 9, 15, 45, 53, 159, 265, 477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101010001

Octal: 4521

Duodecimal: 1469

Hexadecimal: 951

Square: 5688225

Square Root: 48.83646178829912

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) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1. A3269

Numbers that are the sum of 12 positive 6th powers. A3368

Generalized 22-gonal (or icosidigonal) numbers: m*(10·m - 9) with m = 0, +1, -1, +2, -2, +3, -3, ... A303299

a(n) = n*(n+8). A28566

Numerator of 1/16 - 1/n². A61041

Expansion of (1-x)/(1-x-x⁴). A17898

Trajectory of 82 under the map n-> A006368(n). A223088

5 times pentagonal numbers: 5·n*(3·n-1)/2. A152734

Numbers k for which nontrivial positive magic squares of exactly 6 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125013

T(n,k)=Half the number of 0..k arrays of length n+2 with second differences nonzero. A212782