8,727,255

3² × 5 × 193939

8,727,255 factors as 3^2 × 5 × 193939. Its 12 positive divisors give a proper-divisor sum of 6,400,065, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 193939

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,127,320

Proper Divisor Sum 6,400,065

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8727247 ← → #8727263

Radix Representation

Decimal	8727255
Binary	100001010010101011010111 (24 bits)
Octal	0o41225327
Hexadecimal	0x852AD7

Divisor Catalog (12)

1 3 5 9 15 45 193,939 581,817 969,695 1,745,451 2,909,085 8,727,255

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,727,255 26,181,766 13,090,883 39,272,650 19,636,325 58,908,976 29,454,488 14,727,244 7,363,622 3,681,811 11,045,434 5,522,717 16,568,152 8,284,076 4,142,038 2,071,019 6,213,058 3,106,529 9,319,588 4,659,794 2,329,897 6,989,692 3,494,846 1,747,423 5,242,270 2,621,135 7,863,406 3,931,703 11,795,110 5,897,555 17,692,666 8,846,333 26,539,000 13,269,500 6,634,750 3,317,375 9,952,126 4,976,063 14,928,190 7,464,095 22,392,286 11,196,143 33,588,430 16,794,215 50,382,646 25,191,323 75,573,970 37,786,985 113,360,956 56,680,478 28,340,239 85,020,718 42,510,359 127,531,078 63,765,539 191,296,618 95,648,309 286,944,928 143,472,464 71,736,232

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