Properties of the Number 34475

Thirty-Four Thousand Four Hundred Seventy-Five

Basics

Value: 34474 → 34475 → 34476

Parity: odd

Prime: No

Previous Prime: 34471

Next Prime: 34483

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 7 × 197

Divisors: 1, 5, 7, 25, 35, 175, 197, 985, 1379, 4925

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010101011

Octal: 103253

Duodecimal: 17B4B

Hexadecimal: 86ab

Square: 1188525625

Square Root: 185.67444627627142

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 ways to place 5 nonattacking kings on a 5 X n board. A172204

Expansion of 1/(1 - x² - x⁷). A369813

Expansion of 1 / ((1-x)² - x⁷). A392543

Array read by antidiagonals: T(n,k) is the number of ways to place k nonattacking kings on a n X k board. A390158

a(n) = Pell(n)*A109064(n) for n >= 1 with a(0)=1. A205884

Multiplicity of highest weight (or singular) vectors associated with character chi₈₇ of Monster module. A34475