Properties of the Number 98343

Ninety-Eight Thousand Three Hundred Forty-Three

Basics

Value: 98342 → 98343 → 98344

Parity: odd

Prime: No

Previous Prime: 98327

Next Prime: 98347

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 223

Divisors: 1, 3, 7, 9, 21, 49, 63, 147, 223, 441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000000100111

Octal: 300047

Duodecimal: 48AB3

Hexadecimal: 18027

Square: 9671345649

Square Root: 313.59687498442963

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

T(n,k)=Number of nXk binary arrays with each sum of a(1..i,1..j) no greater than i·j/2 and rows and columns in nondecreasing order. A183413

T(n,k) = Stirling2(n,k) * OrderedBell(k). A232598

Total number of occurrences of the pattern 1=2 in all preferential arrangements (or ordered partitions) of n elements. A240797

Number of nX5 binary arrays with each sum of a(1..i,1..j) no greater than i·j/2 and rows and columns in nondecreasing order. A183412

Consider the family of multigraphs enriched by the species of binary arborescences. Sequence gives number of those multigraphs with n edges and loops. A98343