Properties of the Number -1531

Five Hundred Thirty-One

Basics

Value: -1532 → -1531 → -1530

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 1531

Divisors: 1, 1531

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10111111011

Octal: -2773

Duodecimal: -A77

Hexadecimal: -5fb

Square: 2343961

Square Root: 39.1279950930277

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

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

Expansion of the series e(-q), where the series e(q) is Morier-Genoud and Ovsienko's q-analog of Euler's number e. A392020

a(n) = A174817(n) - Mnr; where Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131. A174818

E.g.f. A(x) satisfies A(x) = exp(-x·A(x)³) + x·A(x). A379910

Numerators of coefficients in Taylor series expansion of log(cotan(x)*arcsinh(x)). A12868

T(n, k) = [x^k] ∑_j=0..n j!*binomial(x, j), for 0 <= k <= n, triangle read by rows. A176663

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 213", based on the 5-celled von Neumann neighborhood. A270904

a(n) = -n² + 21·n - 1. A332884

Primes p such that 2p-1 is also prime. A5382

Primes p such that the decimal expansion of its base-9 conversion is also prime. A65727