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Ratio Atlas
Atlas › Integer Profiles › Node 8,729,415
8,729,415
32 × 5 × 17 × 11411
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 11411
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,022,448
Proper Divisor Sum 7,293,033
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8729411 ← → #8729429

Radix Representation

Decimal 8729415
Binary 100001010011001101000111 (24 bits)
Octal 0o41231507
Hexadecimal 0x853347

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 11,411 34,233 57,055 102,699 171,165 193,987 513,495 581,961 969,935 1,745,883 2,909,805 8,729,415

Collatz Trajectory (274 steps to reach 1)

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

8,729,415 26,188,246 13,094,123 39,282,370 19,641,185 58,923,556 29,461,778 14,730,889 44,192,668 22,096,334 11,048,167 33,144,502 16,572,251 49,716,754 24,858,377 74,575,132 37,287,566 18,643,783 55,931,350 27,965,675 83,897,026 41,948,513 125,845,540 62,922,770 31,461,385 94,384,156 47,192,078 23,596,039 70,788,118 35,394,059 106,182,178 53,091,089 159,273,268 79,636,634 39,818,317 119,454,952 59,727,476 29,863,738 14,931,869 44,795,608 22,397,804 11,198,902 5,599,451 16,798,354 8,399,177 25,197,532 12,598,766 6,299,383 18,898,150 9,449,075 28,347,226 14,173,613 42,520,840 21,260,420 10,630,210 5,315,105 15,945,316 7,972,658 3,986,329 11,958,988

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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