Properties of the Number -1253

Two Hundred Fifty-Three

Basics

Value: -1254 → -1253 → -1252

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 7 × 179

Divisors: 1, 7, 179, 1253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10011100101

Octal: -2345

Duodecimal: -885

Hexadecimal: -4e5

Square: 1570009

Square Root: 35.397740040855716

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 ∏_k>=1 1/(1 - x^k/(1 + x)^k). A320590

Expansion of (1 - 2·x³ - x⁴ - 2·x⁵ - x⁶ - x⁷ - x⁸ + 2·x⁹)/(1 + x - x³ - x⁴ - x⁵ - x⁶ - x⁷ + x⁹ + x¹⁰). A143335

McKay-Thompson series of class 30G for the Monster group. A58618

Expansion of q^-1 * χ(-q)² * χ(-q¹⁵)² / (χ(-q³) * χ(-q⁵)) in powers of q where χ() is a Ramanujan θ function. A133098

Expansion of f(-q⁶) * f(-q¹⁰) / (f(q) * f(q¹⁵)) in powers of q where f() is a Ramanujan θ function. A145728

L.g.f.: ∑_n>=1 (x - x^2·n-1)^2·n-1 / (2·n-1). A293597

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of {(i+j)*min(i,j)} (A203990). A203991

Coefficient of·in minimal polynomial of the continued fraction [1ⁿ,4,1,1,1,...], where 1ⁿ means n ones. A265803

McKay-Thompson series of class 30G for the Monster group with a(0) = -1. A135213

Number of labeled trees with n nodes and even number of leaves minus number of labeled trees with n nodes and odd number of leaves. A90347