9,305,082

2 × 3² × 516949

9,305,082 factors as 2 × 3^2 × 516949. Its 12 positive divisors give a proper-divisor sum of 10,855,968, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 516949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,161,050

Proper Divisor Sum 10,855,968

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9305063 ← → #9305083

Radix Representation

Decimal	9305082
Binary	100011011111101111111010 (24 bits)
Octal	0o43375772
Hexadecimal	0x8DFBFA

Divisor Catalog (12)

1 2 3 6 9 18 516,949 1,033,898 1,550,847 3,101,694 4,652,541 9,305,082

Collatz Trajectory (225 steps to reach 1)

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

9,305,082 4,652,541 13,957,624 6,978,812 3,489,406 1,744,703 5,234,110 2,617,055 7,851,166 3,925,583 11,776,750 5,888,375 17,665,126 8,832,563 26,497,690 13,248,845 39,746,536 19,873,268 9,936,634 4,968,317 14,904,952 7,452,476 3,726,238 1,863,119 5,589,358 2,794,679 8,384,038 4,192,019 12,576,058 6,288,029 18,864,088 9,432,044 4,716,022 2,358,011 7,074,034 3,537,017 10,611,052 5,305,526 2,652,763 7,958,290 3,979,145 11,937,436 5,968,718 2,984,359 8,953,078 4,476,539 13,429,618 6,714,809 20,144,428 10,072,214 5,036,107 15,108,322 7,554,161 22,662,484 11,331,242 5,665,621 16,996,864 8,498,432 4,249,216 2,124,608

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