Properties of the Number 82013

Eighty-Two Thousand Thirteen

Basics

Value: 82012 → 82013 → 82014

Parity: odd

Prime: Yes

Previous Prime: 82009

Next Prime: 82021

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 82013

Divisors: 1, 82013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000001011101

Octal: 240135

Duodecimal: 3B565

Hexadecimal: 1405d

Square: 6726132169

Square Root: 286.379119350556

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

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Hypotenuse C of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, s=a+b+c, s-+1 are primes. A155175

a(n) = A048673(n²). A337336

Subrecords in A048673: maximum value between two consecutive records in A048673. A247284

a(n) is the least prime of the form (3^j*5^k + 1)/2, j > 0, k > 0, j + k = n. a(n) = 0 if no such prime exists. A337425

Primes of the form (4·k + 3)² + (4·k + 2)² where k=0,1,2,3,... A87872

Primes A080478(n)² + A080478(n+1)². A139361

Primes in A155175. A155185

Primes of the form 8·n² + 4·n + 1. A102130

Records in the numbers of representations of k² as x² - x·y + y², x > 2·y >= 0, corresponding to the numbers of grid points with squared radius A357302(n)² in an angular sector 0 <= φ < π/6 of the triangular lattice. A357303