Properties of the Number 7864

Seven Thousand Eight Hundred Sixty-Four

Basics

Value: 7863 → 7864 → 7865

Parity: even

Prime: No

Previous Prime: 7853

Next Prime: 7867

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 983

Divisors: 1, 2, 4, 8, 983, 1966, 3932, 7864

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111010111000

Octal: 17270

Duodecimal: 4674

Hexadecimal: 1eb8

Square: 61842496

Square Root: 88.67919710958145

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

Number of compositions (ordered partitions) of n that are concave-down sequences. A70211

T(n,k) is the number of length n+1 0..2·k arrays with the sum of the absolute values of adjacent differences equal to n·k. A249982

Number of quadrilateral regions into which a figure made up of a row of n adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles. A324043

G.f. A(x) satisfies: A(x)⁴ = A(x²)² + 4·x. A107086

Expansion of 1/sqrt(1-4x-8x²-24x³+36x⁴). A108490

The first 8 values are predefined, the remaining set to a(n) = 48·prime(n)+n+2. A129025

a(n) = n*(67·n - 89)/2. A263227

a(n) is the number of edges formed by n-secting the angles of an octagon. A335771

Expansion of (theta₃(z)*theta₃(23z)+theta₂(z)*theta₂(23z))⁴. A28660

a(n) = n·prime(prime(n)) - prime(n)². A230098