Properties of the Number 8214

Eight Thousand Two Hundred Fourteen

Basics

Value: 8213 → 8214 → 8215

Parity: even

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 37 ²

Divisors: 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010110

Octal: 20026

Duodecimal: 4906

Hexadecimal: 2016

Square: 67469796

Square Root: 90.6311204829776

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(n) = 6·n². A33581

Triangle read by rows: T(n,k) is the number of simple graphs on n unlabeled nodes having chromatic number k, 1 <= k <= n. A84268

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,0) (-1,2) or (0,-2) and new values introduced in order 0..2. A275565

Numbers k such that σ(k) = ψ(k) + τ(k). A387953

a(n) = (9·n² + 13·n + 6)/2. A64226

a(n) = (9·n² - 5·n + 2)/2. A140064

Indices of heptagonal numbers (A000566) which are also squares (A000290). A46195

Smallest area of any triangle with integer sides a <= b <= c and inradius n. A120572

Numbers k such that s(k) = 2·k, where s(k) is the sum of divisors of k that have a square factor (A162296). A322609

Expansion of g/(1 - x³*g³), where g = 1+x·g³ is the g.f. of A001764. A391062