Properties of the Number -1002

Two

Basics

Value: -1003 → -1002 → -1001

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 3

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 167

Divisors: 1, 2, 3, 6, 167, 334, 501, 1002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111101010

Octal: -1752

Duodecimal: -6B6

Hexadecimal: -3ea

Square: 1004004

Square Root: 31.654383582688826

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

Triangle a(n,k) (1<=k<=n) of "signed Eulerian numbers" read by rows. A49061

Shifts 6 places left under inverse binomial transform. A10747

Signed version of A035607. A80246

Matrix inverse of triangle A122178, where A122178(n,k) = C( n*(n+1)/2 + n-k - 1, n-k) for n>=k>=0. A121438

Triangle read by rows: Coefficients of the polynomials P(n, x) * EP(n, x), where P denote the signed Pascal polynomials and EP the Eulerian polynomials A173018. A373657

Expansion of ∏_k>=1 1/(1 + x^k)^k+1. A305628

a(n) = ∑_k=0..n (-1)^n-k*binomial(n, k)*E1(n, k). A344052

Expansion of e.g.f.: sin(x)*cos(log(1+x)). A9532

Shifts 6 places right under binomial transform. A10746

a(n) is the number of partitions of n (the partition numbers). A41