Properties of the Number 82073

Eighty-Two Thousand Seventy-Three

Basics

Value: 82072 → 82073 → 82074

Parity: odd

Prime: Yes

Previous Prime: 82067

Next Prime: 82129

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 82073

Divisors: 1, 82073

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000010011001

Octal: 240231

Duodecimal: 3B5B5

Hexadecimal: 14099

Square: 6735977329

Square Root: 286.483856438718

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(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

Records in A000230. A133429

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

Primes for which the six closest primes are smaller. A75038

Primes p such that (r-p)/log(p) > 4, where r is the next prime after p. A82889

Increasing peaks in the prime gap sequence A000230. A86977

Primes preceding the first-occurrence gaps in A014320. A335366

a(n) is the smallest prime p of the form 4k+1 such that nextprime(p) - p = 4n. A82099

Primes p such that q-p = 56, where q is the next prime after p. A204667

Least prime p such that 2n can be written as the sum or absolute difference of p and the next prime, or -1 if no such prime exists. A363544