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Ratio Atlas
Atlas › Integer Profiles › Node 88,128
88,128
26 × 34 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^4 × 17
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 70
Divisor Sum (σ) 276,606
Proper Divisor Sum 188,478
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #88117 ← → #88129

Radix Representation

Decimal 88128
Binary 10101100001000000 (17 bits)
Octal 0o254100
Hexadecimal 0x15840

Divisor Catalog (60 of 70)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1,088 1,224 1,296 1,377 1,632 1,728 1,836 2,448 2,592 2,754 3,264 3,672 4,896

Collatz Trajectory (164 steps to reach 1)

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

88,128 44,064 22,032 11,016 5,508 2,754 1,377 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94

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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