2³ × 3² × 5² × 13 × 2467

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 13 × 2467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 208,866,840

Proper Divisor Sum 151,139,040

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57727799 ← → #57727811

Radix Representation

Decimal	57727800
Binary	11011100001101101100111000 (26 bits)
Octal	0o334155470
Hexadecimal	0x370DB38

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1,170 1,300

Collatz Trajectory (119 steps to reach 1)

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

57,727,800 28,863,900 14,431,950 7,215,975 21,647,926 10,823,963 32,471,890 16,235,945 48,707,836 24,353,918 12,176,959 36,530,878 18,265,439 54,796,318 27,398,159 82,194,478 41,097,239 123,291,718 61,645,859 184,937,578 92,468,789 277,406,368 138,703,184 69,351,592 34,675,796 17,337,898 8,668,949 26,006,848 13,003,424 6,501,712 3,250,856 1,625,428 812,714 406,357 1,219,072 609,536 304,768 152,384 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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