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Ratio Atlas
Atlas › Integer Profiles › Node 67,788
67,788
22 × 32 × 7 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 196,560
Proper Divisor Sum 128,772
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #67783 ← → #67789

Radix Representation

Decimal 67788
Binary 10000100011001100 (17 bits)
Octal 0o204314
Hexadecimal 0x108CC

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1,076 1,614 1,883 2,421 3,228 3,766 4,842 5,649 7,532 9,684 11,298 16,947 22,596 33,894 67,788

Collatz Trajectory (60 steps to reach 1)

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

67,788 33,894 16,947 50,842 25,421 76,264 38,132 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 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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