Properties of the Number -1505

Five Hundred Five

Basics

Value: -1506 → -1505 → -1504

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 43

Divisors: 1, 5, 7, 35, 43, 215, 301, 1505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10111100001

Octal: -2741

Duodecimal: -A55

Hexadecimal: -5e1

Square: 2265025

Square Root: 38.79432948254165

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

Consider the e.g.f. S(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k+1 * y^2·k / ((2·n-2·k+1)!*(2·k)!) and related functions C(x,y) and D(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of S(x,y). A326800

Expansion of e.g.f. det(I - M) where M_j,k = (j·x)^k/k! is the generic entry of a square matrix of order n, with 1 <= j,k <= n. A157503

Expansion of (1+x²)²/(1+x²-2x³+x⁴+x⁶). A99493

Number of integer partitions of n with distinct differences between successive parts. A325325

Partial sums of A299272. A299273

a(n) = n*(n+8). A28566

Augmentation of the triangular array A158405. See Comments. A193091

Numerator of 1/16 - 1/n². A61041

Powers of cube root of 23 rounded up. A18044

Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1. A6509