Properties of the Number -12802

Twelve Thousand Eight Hundred Two

Basics

Value: -12803 → -12802 → -12801

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 37 × 173

Divisors: 1, 2, 37, 74, 173, 346, 6401, 12802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11001000000010

Octal: -31002

Duodecimal: -74AA

Hexadecimal: -3202

Square: 163891204

Square Root: 113.14592347937243

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) = ∑_{k=0..floor(n/4)} (-1)^k * binomial(n-1-3·k,n-4·k) * binomial(2·k,k). A360315

Expansion of the series reversion of -1 + 1/(1 - x/(1 - x/(1 - x²/(1 - x²/(1 - x³/(1 - x³/(1 - ...))))))), a continued fraction. A291378

Coordination sequence for body-centered tetragonal lattice. A8527

Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees). A57546

Sphenic numbers (A007304) whose neighbors are sphenic. A248202

a(n) is the smallest unused number such that the RMS (Root Mean Square) of a(1) through a(n) is an integer. A141391

a(n) is the number of integer partitions of n for which the length is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318178

a(0) = 1, a(n) = 32·n² + 2 for n > 0. A10021

Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the middle of the tube. A337400

a(n) = RMS( A141391(1) through A141391(n) ). A141392