λ
Ratio Atlas
Atlas › Integer Profiles › Node 129,888
129,888
25 × 32 × 11 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 11 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 412,776
Proper Divisor Sum 282,888
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #129887 ← → #129893

Radix Representation

Decimal 129888
Binary 11111101101100000 (17 bits)
Octal 0o375540
Hexadecimal 0x1FB60

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1,056 1,312 1,353 1,476 1,584 1,804 1,968 2,706 2,952 3,168 3,608 3,936 4,059 5,412

Collatz Trajectory (69 steps to reach 1)

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

129,888 64,944 32,472 16,236 8,118 4,059 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26

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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