Properties of the Number 8213

Eight Thousand Two Hundred Thirteen

Basics

Value: 8212 → 8213 → 8214

Parity: odd

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 43 × 191

Divisors: 1, 43, 191, 8213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010101

Octal: 20025

Duodecimal: 4905

Hexadecimal: 2015

Square: 67453369

Square Root: 90.62560344626678

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) = n·prime(n). A33286

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24. A51965

Expansion of 1/(1 - x + x² - x³ - x⁶ + x⁷ - x⁸ + x⁹ - x¹⁰ + x¹¹ - x¹² -x¹⁵ + x¹⁶ - x¹⁷ + x¹⁸). A173911

a(n) = 6·n² - 1. A140811

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime. A69833

Number of partitions p of n such that the number of parts is a part and max(p) - min(p) is not a part. A241384

a(n) = numerator of ∑_d∣n (τ(d)/σ(d)) where τ(k) = the number of the divisors of k (A000005) and σ(k) = the sum of the divisors of k (A000203). A323779

Products of exactly two distinct primes in A090252, in order of appearance. A354160

Numbers whose binary indices have (1) prime indices covering an initial interval and (2) squarefree product. A371293