9,765,342

2 × 3² × 542519

9,765,342 factors as 2 × 3^2 × 542519. Its 12 positive divisors give a proper-divisor sum of 11,392,938, so this integer is abundant. The Collatz stopping time is 437 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 542519

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,158,280

Proper Divisor Sum 11,392,938

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9765337 ← → #9765359

Radix Representation

Decimal	9765342
Binary	100101010000000111011110 (24 bits)
Octal	0o45200736
Hexadecimal	0x9501DE

Divisor Catalog (12)

1 2 3 6 9 18 542,519 1,085,038 1,627,557 3,255,114 4,882,671 9,765,342

Collatz Trajectory (437 steps to reach 1)

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

9,765,342 4,882,671 14,648,014 7,324,007 21,972,022 10,986,011 32,958,034 16,479,017 49,437,052 24,718,526 12,359,263 37,077,790 18,538,895 55,616,686 27,808,343 83,425,030 41,712,515 125,137,546 62,568,773 187,706,320 93,853,160 46,926,580 23,463,290 11,731,645 35,194,936 17,597,468 8,798,734 4,399,367 13,198,102 6,599,051 19,797,154 9,898,577 29,695,732 14,847,866 7,423,933 22,271,800 11,135,900 5,567,950 2,783,975 8,351,926 4,175,963 12,527,890 6,263,945 18,791,836 9,395,918 4,697,959 14,093,878 7,046,939 21,140,818 10,570,409 31,711,228 15,855,614 7,927,807 23,783,422 11,891,711 35,675,134 17,837,567 53,512,702 26,756,351 80,269,054

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