Properties of the Number 24828

Twenty-Four Thousand Eight Hundred Twenty-Eight

Basics

Value: 24827 → 24828 → 24829

Parity: even

Prime: No

Previous Prime: 24821

Next Prime: 24841

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 2069

Divisors: 1, 2, 3, 4, 6, 12, 2069, 4138, 6207, 8276

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110000011111100

Octal: 60374

Duodecimal: 12450

Hexadecimal: 60fc

Square: 616429584

Square Root: 157.56903249052462

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

G.f.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x²² + x²¹ - x¹⁹ - 2·x¹⁸ - 3·x¹⁷ - 3·x¹⁶ - 2·x¹⁵ + 2·x¹³ + 4·x¹² + 5·x¹¹ + 4·x¹⁰ + 2·x⁹ - 2·x⁷ - 3·x⁶ - 3·x⁵ - 2·x⁴ - x³ + x + 1. A143419

Expansion of e.g.f. 1/sqrt(1 - 2·log(1 + x)). A320343

Number of equilateral triangles formed out of matches that can be found in a hexagonal chunk of side length n in hexagonal array of matchsticks. A45949

Numbers k such that 17·2^k - 1 is prime. A1774

Start with n, apply k->2k+1 until reach new record prime; sequence gives number of steps needed. A51918

McKay-Thompson series of class 36C for Monster. A58646

Number of 4-step king's tours on an n X n board summed over all starting positions. A186863

Expansion of f(-x³, -x⁷) * f(x⁴, x⁶) / ψ(-x)² in powers of·where ψ(), f(,) are Ramanujan θ functions. A259393

a(n) = 324·n² - 804·n + 468 (n>=2). A304619

McKay-Thompson series of class 12G for Monster. A58485