λ
Ratio Atlas
Atlas › Integer Profiles › Node 108,864
108,864
26 × 35 × 7
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^5 × 7
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 369,824
Proper Divisor Sum 260,960
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #108863 ← → #108869

Radix Representation

Decimal 108864
Binary 11010100101000000 (17 bits)
Octal 0o324500
Hexadecimal 0x1A940

Divisor Catalog (60 of 84)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 243 252 288 324 336 378 432 448 486 504 567 576 648 672 756 864 972 1,008 1,134 1,296 1,344 1,512

Collatz Trajectory (66 steps to reach 1)

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

108,864 54,432 27,216 13,608 6,804 3,402 1,701 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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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