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Ratio Atlas
Atlas › Integer Profiles › Node 67,760
67,760
24 × 5 × 7 × 112
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 197,904
Proper Divisor Sum 130,144
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #67759 ← → #67763

Radix Representation

Decimal 67760
Binary 10000100010110000 (17 bits)
Octal 0o204260
Hexadecimal 0x108B0

Divisor Catalog (60)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1,210 1,232 1,540 1,694 1,936 2,420 3,080 3,388 4,235 4,840 6,160 6,776 8,470 9,680 13,552 16,940 33,880 67,760

Collatz Trajectory (60 steps to reach 1)

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

67,760 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2

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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