Properties of the Number 5123

Five Thousand One Hundred Twenty-Three

Basics

Value: 5122 → 5123 → 5124

Parity: odd

Prime: No

Previous Prime: 5119

Next Prime: 5147

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 47 × 109

Divisors: 1, 47, 109, 5123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010000000011

Octal: 12003

Duodecimal: 2B6B

Hexadecimal: 1403

Square: 26245129

Square Root: 71.57513534740957

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296284

Numbers that are the sum of 8 positive 10th powers. A4808

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

Number of connected components of n faces of the truncated cuboctahedron up to the 48 rotations and reflections of the truncated cuboctahedron. A384071

Expansion of e.g.f. exp(x * (1-2·x)). A362176

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (-k/2)^j * binomial(n-j,j)/(n-j)!. A362277

Multiply by 5 and reverse. A45539

Numbers that are the sum of eight fourth powers in four or more ways. A345579

Numbers that are the sum of eight fourth powers in exactly four ways. A345836

a(n) = 2·n² + 15·n. A139579