Properties of the Number 16558

Sixteen Thousand Five Hundred Fifty-Eight

Basics

Value: 16557 → 16558 → 16559

Parity: even

Prime: No

Previous Prime: 16553

Next Prime: 16561

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 17 × 487

Divisors: 1, 2, 17, 34, 487, 974, 8279, 16558

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000010101110

Octal: 40256

Duodecimal: 96BA

Hexadecimal: 40ae

Square: 274167364

Square Root: 128.6778924291193

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 integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

L.g.f.: ∑_n>=1 xⁿ/n * ∏_d∣n (1 + d·x^n/d)^d. A205481

Expansion of (1-x)/(1-x+2·x²). A78020

Expansion of (1 + x)/(1 + x + 2x²). A110512

Number of partitions of n having (sum of odd parts) > (sum of even parts). A239262

Number of partitions of n having (sum of odd parts) >= (sum of even parts). A239263

Expansion of ∏_k>=1 (1 - x^2·k)^2·k/(1 - x^2·k-1)^2·k-1. A281781

Monotonic ordering of nonnegative differences 3ⁱ-5^j, for 40>= i>=0, j>=0. A192149

Number of parts in all partitions of n with largest multiplicity four. A320374