Properties of the Number 97075

Ninety-Seven Thousand Seventy-Five

Basics

Value: 97074 → 97075 → 97076

Parity: odd

Prime: No

Previous Prime: 97073

Next Prime: 97081

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 11 × 353

Divisors: 1, 5, 11, 25, 55, 275, 353, 1765, 3883, 8825

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101100110011

Octal: 275463

Duodecimal: 48217

Hexadecimal: 17b33

Square: 9423555625

Square Root: 311.56861202630796

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) = (2·n - 1)*(7·n² - 7·n + 3)/3. A63494

Odd numbers n for which the number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224533

Multiplicity of highest weight (or singular) vectors associated with character chi₃₀ of Monster module. A34418

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1100-0111 pattern in any orientation. A146395

Expansion of g.f. (1-x-x²)/(1-x-3·x²-x³). A97075