Properties of the Number -1001

One

Basics

Value: -1002 → -1001 → -1000

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 2

Digital Root: 2

Palindrome: Yes

Factorization: 7 × 11 × 13

Divisors: 1, 7, 11, 13, 77, 91, 143, 1001

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111101001

Octal: -1751

Duodecimal: -6B5

Hexadecimal: -3e9

Square: 1002001

Square Root: 31.63858403911275

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(9) and N(9) 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. A226929

a(n) = (-n³ + 9n² - 5n + 3)/3. A161702

Riordan array (1,c(-x)), where c(x) = g.f. of Catalan numbers. A99039

Coefficients of even-indexed Euler polynomials (rising powers without zeros). A60083

Triangle of coefficients of characteristic polynomial of M_n, the n X n matrix M_i,j = min(i,j). A76756

Third convolution of A115140. A115142

Fifth convolution of A115140. A115144

Triangle of coefficients of Euler polynomials E_2n(x) (exponents in increasing order). A4172

a(n) = a(n - 1) - 2·a(n - 2) + a(n - 3) - 4·a(n - 4) + 2·a(n - 5). A122581

Coefficients of even-indexed Euler polynomials (falling powers without zeros). A60082