Properties of the Number 83809

Eighty-Three Thousand Eight Hundred Nine

Basics

Value: 83808 → 83809 → 83810

Parity: odd

Prime: No

Previous Prime: 83791

Next Prime: 83813

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 11 × 19 × 401

Divisors: 1, 11, 19, 209, 401, 4411, 7619, 83809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011101100001

Octal: 243541

Duodecimal: 40601

Hexadecimal: 14761

Square: 7023948481

Square Root: 289.4978410973042

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*(7·n²-4)/3. A63521

a(n) = ∑_{1 <= x₁, x₂ <= n} gcd(x₁, x₂, n)⁴. A372926

a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ). A11939

Denominators of continued fraction convergents to sqrt(146). A41267

Denominators of continued fraction convergents to sqrt(584). A42119

Numerical distance between m-th and (n+m)-th circles in a loxodromic sequence of circles in which each 4 consecutive circles touch. A45821

Let f(n) be the smallest prime == 1 mod n (cf. A034694). Sequence gives triangle T(j,k) = f^k(j) for 1 <= k <= j, read by rows. A83809