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Ratio Atlas
Atlas › Integer Profiles › Node 96,096
96,096
25 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 338,688
Proper Divisor Sum 242,592
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #96079 ← → #96097

Radix Representation

Decimal 96096
Binary 10111011101100000 (17 bits)
Octal 0o273540
Hexadecimal 0x17760

Divisor Catalog (60 of 96)

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 66 77 78 84 88 91 96 104 112 132 143 154 156 168 176 182 208 224 231 264 273 286 308 312 336 352 364 416 429 462 528 546 572 616 624

Collatz Trajectory (45 steps to reach 1)

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

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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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