2 × 3² × 5 × 7 × 43

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 82,368

Proper Divisor Sum 55,278

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #27077 ← → #27091

Radix Representation

Decimal	27090
Binary	110100111010010 (15 bits)
Octal	0o64722
Hexadecimal	0x69D2

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1,290 1,505 1,806 1,935 2,709 3,010 3,870 4,515 5,418 9,030 13,545 27,090

Collatz Trajectory (183 steps to reach 1)

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

27,090 13,545 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208

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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