Properties of the Number 20169

Twenty Thousand One Hundred Sixty-Nine

Basics

Value: 20168 → 20169 → 20170

Parity: odd

Prime: No

Previous Prime: 20161

Next Prime: 20173

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 83

Divisors: 1, 3, 9, 27, 81, 83, 243, 249, 747, 2241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100111011001001

Octal: 47311

Duodecimal: B809

Hexadecimal: 4ec9

Square: 406788561

Square Root: 142.0176045425355

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

a(n) = ∑_d∣n d·binomial(n/d+d-2,d-1). A157020

Starting numbers for which the RATS sequence has eventual period 3. A114613

RATS: Reverse Add Then Sort the digits applied to previous term, starting with 20169. A209878

Number of tilings of a 16 X n rectangle using 2·n copies of the disconnected shape [oooo____oooo]. A323483

a(n) = 3ⁿ*(n³ - 3·n² + 2·n + 162)/162. A81914

Initial value·of a RATS trajectory x->A036839(x) ending in a cycle unreachable by any smaller initial value. A161590

Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block. A246145

Mark the points of the Farey series F_n on a strip of paper and wrap it around a circle of circumference 1 so the endpoints 0 and 1 coincide; draw a chord between every pair of the Farey points; a(n) is the number of vertices in the resulting graph. A359116

spt(n) - p(n): total number of smallest parts in all partitions of n minus the number of partitions of n. A215513

G.f. satisfies A(x) = 1 + x·A(x)*(2 + A(x)³). A364432