Properties of the Number 82609

Eighty-Two Thousand Six Hundred Nine

Basics

Value: 82608 → 82609 → 82610

Parity: odd

Prime: Yes

Previous Prime: 82601

Next Prime: 82613

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 82609

Divisors: 1, 82609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001010110001

Octal: 241261

Duodecimal: 3B981

Hexadecimal: 142b1

Square: 6824246881

Square Root: 287.4178143400301

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

Pisot sequence T(3,13), a(n) = floor( a(n-1)²/a(n-2) ). A10920

Pisot sequence E(3,13): a(n) = floor(a(n-1)²/a(n-2) + 1/2). A10903

Numerators of 1-2·HarmonicNumber(n)/(n+1). A93762

Expansion of (1-x)²/(1-5·x+3·x²). A95934

a(1) = 1, a(n+1) = least prime p > a(n) such that a(n) + p is a square. A178825

Primes p such that 4+p⁷, 4+p⁹ and 4+p¹¹ are also prime. A253937

Primes whose 10's complement is a triangular number. A82992

G.f.: x⁴*(2 - x² + x³ + x⁴)/(1-x-x²)³. A229732

Primes of the form n² + φ(n). A264771

Begin with 1 and then smallest number not included earlier such that a(n)*a(n+1) -1 is a cube. A82609