Properties of the Number -1872

Eight Hundred Seventy-Two

Basics

Value: -1873 → -1872 → -1871

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -11101010000

Octal: -3520

Duodecimal: -1100

Hexadecimal: -750

Square: 3504384

Square Root: 43.266615305567875

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

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

a(n) = A033879(A276086(n)). A324654

Expansion of (φ(-q)³ / φ(-q³))² in powers of q where φ() is a Ramanujan θ function. A229616

Main diagonal of A292131. A292132

Expansion of g.f. A(x) = G( x*(1 + 3·x)*G(x)² )^1/3 = G( x²*(1 + 5·x)*G(x)³ )^1/5, where G(x) is the g.f. of A370533. A370534

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202869; by antidiagonals. A202870

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n (-k * (n-j))^j/j!. A351791

Expansion of (1-x)^-1/(1+x-2·x²+x³). A77899

Expansion of theta₄(q)⁴ - theta₂(q)⁴, where theta₂ and theta₄ are the Jacobi θ series. A103640

E.g.f.: 1 / (1 - x·exp(-2·x)). A336959