Properties of the Number -1563

Five Hundred Sixty-Three

Basics

Value: -1564 → -1563 → -1562

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 521

Divisors: 1, 3, 521, 1563

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000011011

Octal: -3033

Duodecimal: -AA3

Hexadecimal: -61b

Square: 2442969

Square Root: 39.534794801541594

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

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice. A2892

G.f.: x^(k²+k/2)/(mul(1-xⁱ,i=1..k)*mul(1+x^r,r=1..oo)) with k = 4. A246583

First differences of A142705. A142888

McKay-Thompson series of class 18f for the Monster group. A58544

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 33", based on the 5-celled von Neumann neighborhood. A269813

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood. A269875

Triangle of characteristic polynomials, see Mathematica code. A158390

a(n) = ∑_k=1..n n/gcd(n,k). A57660

Numbers m such that the Bernoulli number B_2·m has denominator 42. A51227