Properties of the Number -9507

Five Hundred Seven

Basics

Value: -9508 → -9507 → -9506

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 3169

Divisors: 1, 3, 3169, 9507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10010100100011

Octal: -22443

Duodecimal: -5603

Hexadecimal: -2523

Square: 90383049

Square Root: 97.50384607798813

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

Expansion of q * χ(q³) * χ(q⁵) / (χ(q) * χ(q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A145786

a(n) = p² + p + 1 where p runs through the primes. A60800

Number of ordered triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1. A100450

T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms. A254698

Numbers k > 1 such that, in base 4, k and k² contain the same digits in the same proportion. A61658

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Numbers that are the sum of seven fourth powers in five or more ways. A345571

Numbers that are the sum of seven fourth powers in exactly five ways. A345827

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 4 1s. A295379

Sum of the divisors of the n-th odd square: a(n) = σ((2·n-1)²). A379223