Properties of the Number 8084

Eight Thousand Eighty-Four

Basics

Value: 8083 → 8084 → 8085

Parity: even

Prime: No

Previous Prime: 8081

Next Prime: 8087

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 43 × 47

Divisors: 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110010100

Octal: 17624

Duodecimal: 4818

Hexadecimal: 1f94

Square: 65351056

Square Root: 89.91106717195609

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 multimin partitions of integer partitions of n. A317546

Numbers that are the sum of nine fourth powers in seven or more ways. A345591

Numbers that are the sum of nine fourth powers in eight or more ways. A345592

Numbers that are the sum of nine fourth powers in exactly eight ways. A345850

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240433

Sum of all the parts in the partitions of n into 4 squarefree parts. A308783

Number of restricted 3 X 3 matrices with row and column sums n. A5045

Coefficients in the power series expansion of A(x) = ∑_n=-oo..+oo n*(n+1)*(n+2)*(n+3)/24·x^4·n * (1 - xⁿ)^n-2. A357157

Triangle read by rows: number of heapable permutations of length n that contain the number 2 at position k (positions starting from 0). A390377

Denominators of continued fraction convergents to sqrt(718). A42383