Properties of the Number 8500

Eight Thousand Five Hundred

Basics

Value: 8499 → 8500 → 8501

Parity: even

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ³ × 17

Divisors: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000100110100

Octal: 20464

Duodecimal: 4B04

Hexadecimal: 2134

Square: 72250000

Square Root: 92.19544457292888

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

Stirling numbers of the first kind: s(n+2, n). A914

Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 10 ways. A97225

Number of partitions of n containing a clique of size 4. A183561

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303040

Triangle read by rows: T(n, m) = S1(n, m)*10^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A48176

4 times 9-gonal numbers: a(n) = 2·n*(7·n-5). A152760

Numbers that are not a power of a prime but whose prime indices satisfy (mean) = (median) = (mode), assuming there is a unique mode. A363729

T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A268766

Numbers that are the sum of ten fourth powers in exactly eight ways. A345860

Composite numbers k such that A075255(k) is a square. A386245