2⁴ × 3 × 5 × 7 × 37 × 929

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 37 × 929

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 210,343,680

Proper Divisor Sum 152,597,040

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #57746639 ← → #57746651

Radix Representation

Decimal	57746640
Binary	11011100010010010011010000 (26 bits)
Octal	0o334222320
Hexadecimal	0x37124D0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 929 1,036 1,110 1,295 1,480

Collatz Trajectory (181 steps to reach 1)

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

57,746,640 28,873,320 14,436,660 7,218,330 3,609,165 10,827,496 5,413,748 2,706,874 1,353,437 4,060,312 2,030,156 1,015,078 507,539 1,522,618 761,309 2,283,928 1,141,964 570,982 285,491 856,474 428,237 1,284,712 642,356 321,178 160,589 481,768 240,884 120,442 60,221 180,664 90,332 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 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 #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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