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Ratio Atlas
Atlas › Integer Profiles › Node 616,617
616,617
32 × 131 × 523
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 131 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 899,184
Proper Divisor Sum 282,567
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #616597 ← → #616639

Radix Representation

Decimal 616617
Binary 10010110100010101001 (20 bits)
Octal 0o2264251
Hexadecimal 0x968A9

Divisor Catalog (12)

1 3 9 131 393 523 1,179 1,569 4,707 68,513 205,539 616,617

Collatz Trajectory (190 steps to reach 1)

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

616,617 1,849,852 924,926 462,463 1,387,390 693,695 2,081,086 1,040,543 3,121,630 1,560,815 4,682,446 2,341,223 7,023,670 3,511,835 10,535,506 5,267,753 15,803,260 7,901,630 3,950,815 11,852,446 5,926,223 17,778,670 8,889,335 26,668,006 13,334,003 40,002,010 20,001,005 60,003,016 30,001,508 15,000,754 7,500,377 22,501,132 11,250,566 5,625,283 16,875,850 8,437,925 25,313,776 12,656,888 6,328,444 3,164,222 1,582,111 4,746,334 2,373,167 7,119,502 3,559,751 10,679,254 5,339,627 16,018,882 8,009,441 24,028,324 12,014,162 6,007,081 18,021,244 9,010,622 4,505,311 13,515,934 6,757,967 20,273,902 10,136,951 30,410,854

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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