Properties of the Number -6405

Four Hundred Five

Basics

Value: -6406 → -6405 → -6404

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 × 61

Divisors: 1, 3, 5, 7, 15, 21, 35, 61, 105, 183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100100000101

Octal: -14405

Duodecimal: -3859

Hexadecimal: -1905

Square: 41024025

Square Root: 80.0312438988674

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(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)ⁿ⁺¹*n if n is prime, otherwise = 0, where p = largest prime < n. A2120

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576). A299259

Number of sublattices of index n in generic 3-dimensional lattice. A1001

Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables. A50446

Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. A50447

Number of distributive lattices; also number of paths with n turns when light is reflected from 6 glass plates. A6359

Numbers k such that k² divides 16^k-1. A128396

Numbers k for which nontrivial positive magic squares of exactly 8 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125015

T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0. A222345

Triangle read by rows: T(n,k) is the number of chiral pairs of cycles of length n (1) with a color pattern of exactly k colors or equivalently (2) partitioned into k nonempty subsets. A320647