Properties of the Number 1803

One Thousand Eight Hundred Three

Basics

Value: 1802 → 1803 → 1804

Parity: odd

Prime: No

Previous Prime: 1801

Next Prime: 1811

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 601

Divisors: 1, 3, 601, 1803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100001011

Octal: 3413

Duodecimal: 1063

Hexadecimal: 70b

Square: 3250809

Square Root: 42.46174749112429

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 (w,x,y) such that w,x,y are all in {0,...,n} and |w-x| = |x-y|. A212959

Irregular triangle read by rows where T(n,k) is the number of labeled loop-graphs covering n vertices with k edges. A369199

a(n) = n² + 3·n - 1. A14209

Number of n-element sets of singletons or pairs of distinct elements of {1..n} with union {1..n}, or loop-graphs covering n vertices with n edges. A368597

Numbers k such that 2^k + 21 is prime. A57201

Total number of positive integers below 10ⁿ requiring 16 positive biquadrates in their representation as sum of biquadrates. A186677

a(n) = 2·n² + 3. A93328

Number of partitions p of n into distinct parts, including floor(mean(p)). A241312

Number of strict integer partitions of n whose first differences (assuming the last part is zero) are not unimodal. A332286

Minimal exponents m such that the fractional part of (101/100)^m obtains a maximum (when starting with m=1). A153671