Properties of the Number 2024

Two Thousand Twenty-Four

Basics

Value: 2023 → 2024 → 2025

Parity: even

Prime: No

Previous Prime: 2017

Next Prime: 2027

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 11 × 23

Divisors: 1, 2, 4, 8, 11, 22, 23, 44, 46, 88

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11111101000

Octal: 3750

Duodecimal: 1208

Hexadecimal: 7e8

Square: 4096576

Square Root: 44.98888751680797

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions). A3242

a(n) = n*(n+2) = (n+1)² - 1. A5563

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

Number of partitions of n in which the sequence of frequencies of the summands is nondecreasing. A100883

Number of compositions (ordered partitions) of n into squares. A6456

Sum of the first n even squares: a(n) = 2·n*(n+1)*(2·n+1)/3. A2492

Dodecahedral numbers: a(n) = n*(3·n - 1)*(3·n - 2)/2. A6566

Expansion of (1+x)/(1-x²)⁴: duplicated tetrahedral numbers. A58187

Terms in an n X n spiral that do not lie on its principal diagonals. A137932

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