Properties of the Number 28355

Twenty-Eight Thousand Three Hundred Fifty-Five

Basics

Value: 28354 → 28355 → 28356

Parity: odd

Prime: No

Previous Prime: 28351

Next Prime: 28387

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 53 × 107

Divisors: 1, 5, 53, 107, 265, 535, 5671, 28355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111011000011

Octal: 67303

Duodecimal: 144AB

Hexadecimal: 6ec3

Square: 804006025

Square Root: 168.38942959699102

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

G.f.: exp( ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + d·xⁿ) ). A205478

a(n)=12·sum(1<=i<=j<=k<=n,i·j/k). A88941

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, -1), (1, 0, -1), (1, 0, 0)}. A148386

The number of possible values that can be obtained for the Shannon diversity index across all partitions of n. A383683

How the astronomical clock ("Orloj") in Prague would strike 1,2,3,...,24,25,.. (digits follow 12343212343... (A028356), n-th group adds to n). A28355