λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,333,872
31,333,872
24 × 3 × 311 × 2099
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 311 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 81,244,800
Proper Divisor Sum 49,910,928
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #31333871 ← → #31333877

Radix Representation

Decimal 31333872
Binary 1110111100001110111110000 (25 bits)
Octal 0o167416760
Hexadecimal 0x1DE1DF0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 311 622 933 1,244 1,866 2,099 2,488 3,732 4,198 4,976 6,297 7,464 8,396 12,594 14,928 16,792 25,188 33,584 50,376 100,752 652,789 1,305,578 1,958,367 2,611,156 3,916,734 5,222,312 7,833,468 10,444,624 15,666,936 31,333,872

Collatz Trajectory (201 steps to reach 1)

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

31,333,872 15,666,936 7,833,468 3,916,734 1,958,367 5,875,102 2,937,551 8,812,654 4,406,327 13,218,982 6,609,491 19,828,474 9,914,237 29,742,712 14,871,356 7,435,678 3,717,839 11,153,518 5,576,759 16,730,278 8,365,139 25,095,418 12,547,709 37,643,128 18,821,564 9,410,782 4,705,391 14,116,174 7,058,087 21,174,262 10,587,131 31,761,394 15,880,697 47,642,092 23,821,046 11,910,523 35,731,570 17,865,785 53,597,356 26,798,678 13,399,339 40,198,018 20,099,009 60,297,028 30,148,514 15,074,257 45,222,772 22,611,386 11,305,693 33,917,080 16,958,540 8,479,270 4,239,635 12,718,906 6,359,453 19,078,360 9,539,180 4,769,590 2,384,795 7,154,386

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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