2² × 3² × 5 × 7 × 43

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 192,192

Proper Divisor Sum 138,012

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #54167 ← → #54181

Radix Representation

Decimal	54180
Binary	1101001110100100 (16 bits)
Octal	0o151644
Hexadecimal	0xD3A4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1,204 1,260 1,290 1,505 1,548 1,806 1,935 2,580 2,709 3,010

Collatz Trajectory (184 steps to reach 1)

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

54,180 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

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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