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Ratio Atlas
Atlas › Integer Profiles › Node 67,188
67,188
22 × 3 × 11 × 509
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 171,360
Proper Divisor Sum 104,172
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #67187 ← → #67189

Radix Representation

Decimal 67188
Binary 10000011001110100 (17 bits)
Octal 0o203164
Hexadecimal 0x10674

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 509 1,018 1,527 2,036 3,054 5,599 6,108 11,198 16,797 22,396 33,594 67,188

Collatz Trajectory (68 steps to reach 1)

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

67,188 33,594 16,797 50,392 25,196 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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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