Properties of the Number -501

Five Hundred One

Basics

Value: -502 → -501 → -500

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 167

Divisors: 1, 3, 167, 501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111110101

Octal: -765

Duodecimal: -359

Hexadecimal: -1f5

Square: 251001

Square Root: 22.38302928559939

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(1) and N(1) 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. A226921

Triangle read by rows: row n (n>=0) gives the coefficients of the polynomial p(n,x) of degree n defined in comments. A159041

Triangle, read by rows, equal to the matrix inverse of P=A113370. A114156

Triangle, read by rows, given by the product Q^-2·P³ using triangular matrices P=A113370, Q=A113381. A114155

Expansion of ∏_k>0 ((1-x^5k-2) * (1-x^5k-3)/((1-x^5k-1) * (1-x^5k-4)))⁴ in powers of x. A285444

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∏_j=1..n 1/(1+x^j) - 1). A294289

Alternating sum of diagonals in A060177. A104575

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(-x^k+1/(1+x)). A293134

Expansion of e.g.f.: exp(-x/(1+x)). A293125

a(n) = A294898(A122111(n)). A323167