2⁴ × 3 × 5 × 7 × 263

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,571,328

Proper Divisor Sum 1,129,488

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #441839 ← → #441841

Radix Representation

Decimal	441840
Binary	1101011110111110000 (19 bits)
Octal	0o1536760
Hexadecimal	0x6BDF0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 263 280 336 420 526 560 789 840 1,052 1,315 1,578 1,680 1,841 2,104 2,630 3,156 3,682 3,945 4,208 5,260 5,523 6,312 7,364 7,890 9,205 10,520

Collatz Trajectory (68 steps to reach 1)

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

441,840 220,920 110,460 55,230 27,615 82,846 41,423 124,270 62,135 186,406 93,203 279,610 139,805 419,416 209,708 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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