9,123,736

2³ × 109 × 10463

9,123,736 factors as 2^3 × 109 × 10463. Its 16 positive divisors give a proper-divisor sum of 8,141,864, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 109 × 10463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,265,600

Proper Divisor Sum 8,141,864

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9123721 ← → #9123739

Radix Representation

Decimal	9123736
Binary	100010110011011110011000 (24 bits)
Octal	0o42633630
Hexadecimal	0x8B3798

Divisor Catalog (16)

1 2 4 8 109 218 436 872 10,463 20,926 41,852 83,704 1,140,467 2,280,934 4,561,868 9,123,736

Collatz Trajectory (243 steps to reach 1)

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

9,123,736 4,561,868 2,280,934 1,140,467 3,421,402 1,710,701 5,132,104 2,566,052 1,283,026 641,513 1,924,540 962,270 481,135 1,443,406 721,703 2,165,110 1,082,555 3,247,666 1,623,833 4,871,500 2,435,750 1,217,875 3,653,626 1,826,813 5,480,440 2,740,220 1,370,110 685,055 2,055,166 1,027,583 3,082,750 1,541,375 4,624,126 2,312,063 6,936,190 3,468,095 10,404,286 5,202,143 15,606,430 7,803,215 23,409,646 11,704,823 35,114,470 17,557,235 52,671,706 26,335,853 79,007,560 39,503,780 19,751,890 9,875,945 29,627,836 14,813,918 7,406,959 22,220,878 11,110,439 33,331,318 16,665,659 49,996,978 24,998,489 74,995,468

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