Properties of the Number 88003

Eighty-Eight Thousand Three

Basics

Value: 88002 → 88003 → 88004

Parity: odd

Prime: Yes

Previous Prime: 88001

Next Prime: 88007

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 88003

Divisors: 1, 88003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011111000011

Octal: 253703

Duodecimal: 42B17

Hexadecimal: 157c3

Square: 7744528009

Square Root: 296.6529959397006

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

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

Primes whose base-9 representation is a square in base 10. A267821

Second term of weak prime sextet: p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3). A54829

Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n). A88003

Numbers k such that 88·10^k + 3 is prime. A273006