Properties of the Number 83003

Eighty-Three Thousand Three

Basics

Value: 83002 → 83003 → 83004

Parity: odd

Prime: Yes

Previous Prime: 82997

Next Prime: 83009

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 83003

Divisors: 1, 83003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000111011

Octal: 242073

Duodecimal: 4004B

Hexadecimal: 1443b

Square: 6889498009

Square Root: 288.1024123467209

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

Sixth term of strong prime sextets: p(m-4)-p(m-5) > p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1). A54818

Number of primes of the form 30k + 1 less than 10ⁿ. A91165

Primes having only {0, 3, 8} as digits. A261434

Primes p such that p-5, p-3, p+3, and p+5 are divisible by cubes. A166000

For p = the n-th prime, a(n) = the least prime q greater than p+2 such that (p²+q²)/2 - 1 is a square, or a(n) = 0 if there is no such prime. A130177

Number of (n+1) X (5+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253453

Number of (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253454

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253456

Triangle read by rows in which each term represents the total area of all the squares found in the grid described in sequence A082652. A83003