Properties of the Number -2500

Five Hundred

Basics

Value: -2501 → -2500 → -2499

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ⁴

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: -100111000100

Octal: -4704

Duodecimal: -1544

Hexadecimal: -9c4

Square: 6250000

Square Root: 50

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k). A244119

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k)*binomial(n,k). A244132

Expansion of Product (1 - x^k)⁸ in powers of x. A731

Determinant of the n X n (0,1)-matrix with (i,j)-entry equal to 1 if and only if i + j is 2 or an odd composite number. A228591

Dirichlet inverse of sigma₂ function (A001157). A53822

a(n) = -(-1)ⁿ * n². A162395

a(n) = ∑_{d divides n} (-1)^{d + n/d} * d². A321558

Expansion of q^-1/3 * (η(q)⁸ + 8 * η(q⁴)⁸) in powers of q². A153728

Dirichlet g.f.: ζ(2·s) / (ζ(s) * ζ(s-2)). A328639

Expansion of q^-1/3 * (η(q)⁸ + 32 * η(q⁴)⁸) in powers of q. A153729