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Ratio Atlas
Atlas › Integer Profiles › Node 10,596,015
10,596,015
38 × 5 × 17 × 19
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^8 × 5 × 17 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 21,256,560
Proper Divisor Sum 10,660,545
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10596013 ← → #10596037

Radix Representation

Decimal 10596015
Binary 101000011010111010101111 (24 bits)
Octal 0o50327257
Hexadecimal 0xA1AEAF

Divisor Catalog (60 of 72)

1 3 5 9 15 17 19 27 45 51 57 81 85 95 135 153 171 243 255 285 323 405 459 513 729 765 855 969 1,215 1,377 1,539 1,615 2,187 2,295 2,565 2,907 3,645 4,131 4,617 4,845 6,561 6,885 7,695 8,721 10,935 12,393 13,851 14,535 20,655 23,085 26,163 32,805 37,179 41,553 43,605 61,965 69,255 78,489 111,537 124,659

Collatz Trajectory (189 steps to reach 1)

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

10,596,015 31,788,046 15,894,023 47,682,070 23,841,035 71,523,106 35,761,553 107,284,660 53,642,330 26,821,165 80,463,496 40,231,748 20,115,874 10,057,937 30,173,812 15,086,906 7,543,453 22,630,360 11,315,180 5,657,590 2,828,795 8,486,386 4,243,193 12,729,580 6,364,790 3,182,395 9,547,186 4,773,593 14,320,780 7,160,390 3,580,195 10,740,586 5,370,293 16,110,880 8,055,440 4,027,720 2,013,860 1,006,930 503,465 1,510,396 755,198 377,599 1,132,798 566,399 1,699,198 849,599 2,548,798 1,274,399 3,823,198 1,911,599 5,734,798 2,867,399 8,602,198 4,301,099 12,903,298 6,451,649 19,354,948 9,677,474 4,838,737 14,516,212

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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