Properties of the Number -26537

Twenty-Six Thousand Five Hundred Thirty-Seven

Basics

Value: -26538 → -26537 → -26536

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 17 × 223

Divisors: 1, 7, 17, 119, 223, 1561, 3791, 26537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110011110101001

Octal: -63651

Duodecimal: -13435

Hexadecimal: -67a9

Square: 704212369

Square Root: 162.9018109168833

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) = 2^2n-1 sin(nA)/sqrt(15), where A is the angle opposite side BC in a triangle ABC having sidelengths |BC|=2, |CA| = 3, |AB| = 4; ABC is the smallest integer-sided scalene triangle. A375883

Expansion of 1/(1 - x + 4·x²). A106853

Number of oriented colorings of the tetrahedral facets (or vertices) of a regular 4-dimensional simplex using n or fewer colors. A337895

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+223)² = y². A130609

G.f.: exp( ∑_n>=1 A163659(n³)*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A237646

G.f. satisfies: A(x) = (1 + x + x²)⁷ * A(x²)⁴. A237647

Expansion of e.g.f. cos(tanh(x)*cos(x)), even powers only. A9091

Sum of Gaussian binomial coefficients for q=12. A15200

Least k such that k·6ⁿ-1 , k·6ⁿ+1, and 2·k*6ⁿ-1 are prime; that is, twin primes and a Sophie Germain prime. A212481

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood. A272989