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Ratio Atlas
Atlas › Integer Profiles › Node 20,088
20,088
23 × 34 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^4 × 31
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 58,080
Proper Divisor Sum 37,992
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20071 ← → #20089

Radix Representation

Decimal 20088
Binary 100111001111000 (15 bits)
Octal 0o47170
Hexadecimal 0x4E78

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1,116 1,674 2,232 2,511 3,348 5,022 6,696 10,044 20,088

Collatz Trajectory (92 steps to reach 1)

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

20,088 10,044 5,022 2,511 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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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