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Ratio Atlas
Atlas › Integer Profiles › Node 36,729,232
36,729,232
24 × 89 × 25793
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 89 × 25793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 71,965,260
Proper Divisor Sum 35,236,028
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36729227 ← → #36729257

Radix Representation

Decimal 36729232
Binary 10001100000111000110010000 (26 bits)
Octal 0o214070620
Hexadecimal 0x2307190

Divisor Catalog (20)

1 2 4 8 16 89 178 356 712 1,424 25,793 51,586 103,172 206,344 412,688 2,295,577 4,591,154 9,182,308 18,364,616 36,729,232

Collatz Trajectory (258 steps to reach 1)

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

36,729,232 18,364,616 9,182,308 4,591,154 2,295,577 6,886,732 3,443,366 1,721,683 5,165,050 2,582,525 7,747,576 3,873,788 1,936,894 968,447 2,905,342 1,452,671 4,358,014 2,179,007 6,537,022 3,268,511 9,805,534 4,902,767 14,708,302 7,354,151 22,062,454 11,031,227 33,093,682 16,546,841 49,640,524 24,820,262 12,410,131 37,230,394 18,615,197 55,845,592 27,922,796 13,961,398 6,980,699 20,942,098 10,471,049 31,413,148 15,706,574 7,853,287 23,559,862 11,779,931 35,339,794 17,669,897 53,009,692 26,504,846 13,252,423 39,757,270 19,878,635 59,635,906 29,817,953 89,453,860 44,726,930 22,363,465 67,090,396 33,545,198 16,772,599 50,317,798

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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