2³ × 3² × 5 × 7 × 17 × 41

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 17 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 7,076,160

Proper Divisor Sum 5,319,720

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1756409 ← → #1756463

Radix Representation

Decimal	1756440
Binary	110101100110100011000 (21 bits)
Octal	0o6546430
Hexadecimal	0x1ACD18

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 20 21 24 28 30 34 35 36 40 41 42 45 51 56 60 63 68 70 72 82 84 85 90 102 105 119 120 123 126 136 140 153 164 168 170 180 204 205 210 238 246 252 255 280 287

Collatz Trajectory (96 steps to reach 1)

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

1,756,440 878,220 439,110 219,555 658,666 329,333 988,000 494,000 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862

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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