Properties of the Number -1027

Twenty-Seven

Basics

Value: -1028 → -1027 → -1026

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 13 × 79

Divisors: 1, 13, 79, 1027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10000000011

Octal: -2003

Duodecimal: -717

Hexadecimal: -403

Square: 1054729

Square Root: 32.046840717924134

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

a(n) = n - A326042(n), where A326042(n) = A064989(σ(A003961(n))). A348736

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 9. A60028

Expansion of ∏_k>=0 (1-x^5·k+4)^5·k+4. A285214

Coefficients in the power series expansion of A(x) = ∑_n=-oo..+oo n*(n+1)*(n+2)/6·x^3·n * (1 - xⁿ)^n-2. A357156

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204128

Numerator of Laguerre(n, 10). A160653

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood. A272290

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Twice partitioned numbers: the number of ways a number can be partitioned into not necessarily different parts and each part is again so partitioned. A63834