2² × 3 × 5² × 7 × 31 × 887

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 31 × 887

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 197,320,704

Proper Divisor Sum 139,577,004

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #57743687 ← → #57743701

Radix Representation

Decimal	57743700
Binary	11011100010001100101010100 (26 bits)
Octal	0o334214524
Hexadecimal	0x3711954

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 465 525 620 651 700 775 868 887 930 1,050 1,085 1,302 1,550 1,774 1,860 2,100 2,170 2,325

Collatz Trajectory (181 steps to reach 1)

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

57,743,700 28,871,850 14,435,925 43,307,776 21,653,888 10,826,944 5,413,472 2,706,736 1,353,368 676,684 338,342 169,171 507,514 253,757 761,272 380,636 190,318 95,159 285,478 142,739 428,218 214,109 642,328 321,164 160,582 80,291 240,874 120,437 361,312 180,656 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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