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Ratio Atlas
Atlas › Integer Profiles › Node 768,768
768,768
28 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 2,747,136
Proper Divisor Sum 1,978,368
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #768767 ← → #768773

Radix Representation

Decimal 768768
Binary 10111011101100000000 (20 bits)
Octal 0o2735400
Hexadecimal 0xBBB00

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 52 56 64 66 77 78 84 88 91 96 104 112 128 132 143 154 156 168 176 182 192 208 224 231 256 264 273 286 308 312 336 352 364 384 416 429 448

Collatz Trajectory (48 steps to reach 1)

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

768,768 384,384 192,192 96,096 48,048 24,024 12,012 6,006 3,003 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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