Properties of the Number -2024

Twenty-Four

Basics

Value: -2025 → -2024 → -2023

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

Expansion of ψ(-q³) / f(q) where ψ(), f() are Ramanujan θ functions. A139135

Expansion of ∑_k>0 x^2·k/(1+x^k)⁴. A363598

a(n+3) = 2a(n+2) - 3a(n+1) + 2a(n); a(0) = 1, a(1) = 1, a(2) = 0. A105578

Expansion of 1/(1 + x*∏_k>=1 (1 - x^k)). A331484

Table (read by rows) giving the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (k>=1, n>=2) contains T(i,k) for i=1 to k+1, where k=[2·n+1+(-1)^n-1]/4 and T(i,k) satisfies Fact(n) = ∑_i=1..k+1 T(i,k) * (n-1)^k-i+1 / (2·k-2)!. A101751

G.f.: 1/(1-2·x+2·x²-x³+x⁴). A199802

Expansion of ∏_k>=1 (1 - q(k)*x^k), where q(k) = number of partitions of k into distinct parts (A000009). A304786

a(n) = n - A332215(n). A364253

Odd triangle n!. This table read by rows gives the coefficients of sum formulas of n-th Factorials (A000142). The k-th row (6>=k>=1) contains T(i,k) for i=1 to k+2, where k=[2·n+3+(-1)ⁿ]/4 and T(i,k) satisfies n! = ∑_i=1..k+2 T(i,k) * n^i-1 / (2·k-2)!. A102410

First term of n-th difference sequence of (floor(π*k/3)), k >= 0. A325742