Properties of the Number -1537

Five Hundred Thirty-Seven

Basics

Value: -1538 → -1537 → -1536

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 29 × 53

Divisors: 1, 29, 53, 1537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000000001

Octal: -3001

Duodecimal: -A81

Hexadecimal: -601

Square: 2362369

Square Root: 39.20459156782532

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

G.f. satisfies: A(x) = 1/∏_n>=1 (1 - xⁿ/A(xⁿ)ⁿ). A205777

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood. A270983

Expansion of 1 / (1 + ∑_{i>=1, j>=1} x^i·prime(j)). A327800

a(n) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers). A7629

Partial sums of A299255. A299261

a(n) = 3·2ⁿ + 1. A181565

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

Numbers that are the sum of 7 nonzero 8th powers. A3385

Numbers that are the sum of 4 positive 9th powers. A3393