Properties of the Number 8003

Eight Thousand Three

Basics

Value: 8002 → 8003 → 8004

Parity: odd

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 53 × 151

Divisors: 1, 53, 151, 8003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000011

Octal: 17503

Duodecimal: 476B

Hexadecimal: 1f43

Square: 64048009

Square Root: 89.45948803788227

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

Number of integer partitions of n whose length can be written as a nonnegative linear combination of the distinct parts. A367218

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Numbers m having the same sum of divisors as m+20 has. A181647

Least nontrivial multiple of the n-th prime beginning with 8. A78292

Numbers that are the sum of eight fourth powers in five or more ways. A345580

Numbers that are the sum of eight fourth powers in six or more ways. A345581

Numbers that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Row sums of Fibonacci-Pascal triangle in A045995. A6449

a(n) = n³ + 3. A84378