Properties of the Number 10803

Ten Thousand Eight Hundred Three

Basics

Value: 10802 → 10803 → 10804

Parity: odd

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 277

Divisors: 1, 3, 13, 39, 277, 831, 3601, 10803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000110011

Octal: 25063

Duodecimal: 6303

Hexadecimal: 2a33

Square: 116704809

Square Root: 103.93748120865735

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

3 times 13-gonal (or tridecagonal) numbers: a(n) = 3·n*(11·n - 9)/2. A153875

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

a(n) = (n-dimensional partitions of 6) + C(n,4) + C(n,3). A8780

Number of partitions of n avoiding equidistant 3-term arithmetic progressions. A238433

Smallest composite·such that σ(x+2ⁿ) = σ(x) + 2ⁿ. A54987

Expansion of (1-x+19·x³-3·x⁴)/(1-x)³. A195241

Expansion of e.g.f. exp( ∑_k>=0 x^3·k+5 / (3·k+5)! ). A365897

Expansion of (1+x²)*(1+x⁵)/( ∏_j=1..7 (1-x^j) ). A60962