Properties of the Number 12803

Twelve Thousand Eight Hundred Three

Basics

Value: 12802 → 12803 → 12804

Parity: odd

Prime: No

Previous Prime: 12799

Next Prime: 12809

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 31 × 59

Divisors: 1, 7, 31, 59, 217, 413, 1829, 12803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000000011

Octal: 31003

Duodecimal: 74AB

Hexadecimal: 3203

Square: 163916809

Square Root: 113.15034246523517

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(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

Number of compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503

Numbers n such that binomial(2n, n) - 1 is prime. A66726

Partial sums of ceiling(n²/2) (A000982). A131941

Numbers k such that A136677(k) is prime. A136686

Index of n-th prime in A386482, or -1 if that prime is missing. A386483

a(n) = (1+n)*(9 + 11·n + 4·n²)/3. A172482

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new maximum. A372099

A Moessner triangle using (1, 3, 5, ...). A125750

a(n) is the index where A387090(n) appears in A386482. A386484