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Ratio Atlas
Atlas › Integer Profiles › Node 36,375,352
36,375,352
23 × 13 × 101 × 3463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 101 × 3463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,198,880
Proper Divisor Sum 37,823,528
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36375349 ← → #36375373

Radix Representation

Decimal 36375352
Binary 10001010110000101100111000 (26 bits)
Octal 0o212605470
Hexadecimal 0x22B0B38

Divisor Catalog (32)

1 2 4 8 13 26 52 101 104 202 404 808 1,313 2,626 3,463 5,252 6,926 10,504 13,852 27,704 45,019 90,038 180,076 349,763 360,152 699,526 1,399,052 2,798,104 4,546,919 9,093,838 18,187,676 36,375,352

Collatz Trajectory (289 steps to reach 1)

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

36,375,352 18,187,676 9,093,838 4,546,919 13,640,758 6,820,379 20,461,138 10,230,569 30,691,708 15,345,854 7,672,927 23,018,782 11,509,391 34,528,174 17,264,087 51,792,262 25,896,131 77,688,394 38,844,197 116,532,592 58,266,296 29,133,148 14,566,574 7,283,287 21,849,862 10,924,931 32,774,794 16,387,397 49,162,192 24,581,096 12,290,548 6,145,274 3,072,637 9,217,912 4,608,956 2,304,478 1,152,239 3,456,718 1,728,359 5,185,078 2,592,539 7,777,618 3,888,809 11,666,428 5,833,214 2,916,607 8,749,822 4,374,911 13,124,734 6,562,367 19,687,102 9,843,551 29,530,654 14,765,327 44,295,982 22,147,991 66,443,974 33,221,987 99,665,962 49,832,981

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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