Properties of the Number 45829

Forty-Five Thousand Eight Hundred Twenty-Nine

Basics

Value: 45828 → 45829 → 45830

Parity: odd

Prime: No

Previous Prime: 45827

Next Prime: 45833

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 6547

Divisors: 1, 7, 6547, 45829

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100000101

Octal: 131405

Duodecimal: 22631

Hexadecimal: b305

Square: 2100297241

Square Root: 214.0770889189219

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

Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = ∑_j=k..n 2^n-j * Stirling2(n,j) * Stirling2(j,k). A383206

The five digits of a(n) and their four successive absolute first differences are all distinct. A365257

Expansion of e.g.f. (exp(f(x)) - 1)² / 2, where f(x) = (exp(2·x) - 1)/2. A383207

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 111-110-111 pattern in any orientation. A146283

Catafusenes (see reference for precise definition). A45829