λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,737,308
8,737,308
22 × 35 × 89 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^5 × 89 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 23,390,640
Proper Divisor Sum 14,653,332
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8737301 ← → #8737343

Radix Representation

Decimal 8737308
Binary 100001010101001000011100 (24 bits)
Octal 0o41251034
Hexadecimal 0x85521C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 27 36 54 81 89 101 108 162 178 202 243 267 303 324 356 404 486 534 606 801 909 972 1,068 1,212 1,602 1,818 2,403 2,727 3,204 3,636 4,806 5,454 7,209 8,181 8,989 9,612 10,908 14,418 16,362 17,978 21,627 24,543 26,967 28,836 32,724 35,956 43,254 49,086 53,934 80,901 86,508 98,172

Collatz Trajectory (137 steps to reach 1)

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

8,737,308 4,368,654 2,184,327 6,552,982 3,276,491 9,829,474 4,914,737 14,744,212 7,372,106 3,686,053 11,058,160 5,529,080 2,764,540 1,382,270 691,135 2,073,406 1,036,703 3,110,110 1,555,055 4,665,166 2,332,583 6,997,750 3,498,875 10,496,626 5,248,313 15,744,940 7,872,470 3,936,235 11,808,706 5,904,353 17,713,060 8,856,530 4,428,265 13,284,796 6,642,398 3,321,199 9,963,598 4,981,799 14,945,398 7,472,699 22,418,098 11,209,049 33,627,148 16,813,574 8,406,787 25,220,362 12,610,181 37,830,544 18,915,272 9,457,636 4,728,818 2,364,409 7,093,228 3,546,614 1,773,307 5,319,922 2,659,961 7,979,884 3,989,942 1,994,971

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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