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12,246,732

22 × 32 × 17 × 20011
Abundant Even Composite

12,246,732 factors as 2^2 × 3^2 × 17 × 20011. Its 36 positive divisors give a proper-divisor sum of 20,532,924, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 20011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 32,779,656
Proper Divisor Sum 20,532,924
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12246721 ← → #12246769

Radix Representation

Decimal 12246732
Binary 101110101101111011001100 (24 bits)
Octal 0o56557314
Hexadecimal 0xBADECC

Divisor Catalog (36)

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20,011 40,022 60,033 80,044 120,066 180,099 240,132 340,187 360,198 680,374 720,396 1,020,561 1,360,748 2,041,122 3,061,683 4,082,244 6,123,366 12,246,732

Collatz Trajectory (65 steps to reach 1)

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

12,246,732 6,123,366 3,061,683 9,185,050 4,592,525 13,777,576 6,888,788 3,444,394 1,722,197 5,166,592 2,583,296 1,291,648 645,824 322,912 161,456 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10

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