Properties of the Number 9284

Nine Thousand Two Hundred Eighty-Four

Basics

Value: 9283 → 9284 → 9285

Parity: even

Prime: No

Previous Prime: 9283

Next Prime: 9293

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 211

Divisors: 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001000100

Octal: 22104

Duodecimal: 5458

Hexadecimal: 2444

Square: 86192656

Square Root: 96.35351576356723

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

Composite numbers k such that the digits of the prime factors of k are either 1 or 2. A36302

Number of partitions of n such that (number of distinct parts) = maximal multiplicity of the parts. A239964

Number of ways to place 2 nonattacking bishops on an n X n board. A172123

Number of partitions p of n such that (maximal multiplicity of the parts of p) = (maximal part of p). A240312

T(n,k)=Number of nXk 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once. A269194

Numbers k such that the decimal number concat(4,k) is a square. A273359

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..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281888