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Ratio Atlas
Atlas › Integer Profiles › Node 36,686,013
36,686,013
3 × 7 × 132 × 10337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13^2 × 10337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 60,539,328
Proper Divisor Sum 23,853,315
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36686003 ← → #36686057

Radix Representation

Decimal 36686013
Binary 10001011111100100010111101 (26 bits)
Octal 0o213744275
Hexadecimal 0x22FC8BD

Divisor Catalog (24)

1 3 7 13 21 39 91 169 273 507 1,183 3,549 10,337 31,011 72,359 134,381 217,077 403,143 940,667 1,746,953 2,822,001 5,240,859 12,228,671 36,686,013

Collatz Trajectory (227 steps to reach 1)

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

36,686,013 110,058,040 55,029,020 27,514,510 13,757,255 41,271,766 20,635,883 61,907,650 30,953,825 92,861,476 46,430,738 23,215,369 69,646,108 34,823,054 17,411,527 52,234,582 26,117,291 78,351,874 39,175,937 117,527,812 58,763,906 29,381,953 88,145,860 44,072,930 22,036,465 66,109,396 33,054,698 16,527,349 49,582,048 24,791,024 12,395,512 6,197,756 3,098,878 1,549,439 4,648,318 2,324,159 6,972,478 3,486,239 10,458,718 5,229,359 15,688,078 7,844,039 23,532,118 11,766,059 35,298,178 17,649,089 52,947,268 26,473,634 13,236,817 39,710,452 19,855,226 9,927,613 29,782,840 14,891,420 7,445,710 3,722,855 11,168,566 5,584,283 16,752,850 8,376,425

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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