Properties of the Number -249

Two Hundred Forty-Nine

Basics

Value: -250 → -249 → -248

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 83

Divisors: 1, 3, 83, 249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11111001

Octal: -371

Duodecimal: -189

Hexadecimal: -f9

Square: 62001

Square Root: 15.7797338380595

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

Unique attractor for (RIGHT then MOBIUS) transform. A7554

5th differences of partition numbers A000041. A81095

G.f.: Im((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292043

a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + ∑_{primes p with 3 <= p <= n} a(n-p). A2121

a(n) = ∑_i=0..n-1 K(i,n)*i, where K(,) is Kronecker symbol. A228131

Numerator of imaginary part of (3·i - 1)^-n. A124871

Expansion of ∏_k>=1 1/(1 + x^k)^k*(3·k-1/2). A295086

G.f. A(x) satisfies: A(x) = A(x³ - x⁵)/x². A350479

a(n) = A118443(n)/(n+1), where A118443 is the row sums of triangle A118441. A118444

Expansion of f(-x²)² * f(-x, x²) / f(x³)³ in powers of·where f(,) is Ramanujan's general θ function. A254525