Properties of the Number 66735

Sixty-Six Thousand Seven Hundred Thirty-Five

Basics

Value: 66734 → 66735 → 66736

Parity: odd

Prime: No

Previous Prime: 66733

Next Prime: 66739

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1483

Divisors: 1, 3, 5, 9, 15, 45, 1483, 4449, 7415, 13347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010010101111

Octal: 202257

Duodecimal: 32753

Hexadecimal: 104af

Square: 4453560225

Square Root: 258.3311827867476

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. satisfies A(x) = 1 + x + x²*A(x)⁵. A137959

Number of connected components, not counting isolated vertices, of the blet graph for n coins. A381813

Number of partitions of 4ⁿ-1 into n-th powers. A27600

Number of compositions of n such that the smallest part has multiplicity nine. A241869

Primes p dividing 1 + the product of the primes less than p. A66735

G.f. A(x) satisfies: A(x) = 1 + x·A(x)² - x²/A(x)². A295504