2³ × 5² × 7² × 13 × 31

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 11,874,240

Proper Divisor Sum 7,924,840

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3949391 ← → #3949409

Radix Representation

Decimal	3949400
Binary	1111000100001101011000 (22 bits)
Octal	0o17041530
Hexadecimal	0x3C4358

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 13 14 20 25 26 28 31 35 40 49 50 52 56 62 65 70 91 98 100 104 124 130 140 155 175 182 196 200 217 245 248 260 280 310 325 350 364 392 403 434 455 490 520 620 637 650 700 728 775 806 868 910 980

Collatz Trajectory (128 steps to reach 1)

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

3,949,400 1,974,700 987,350 493,675 1,481,026 740,513 2,221,540 1,110,770 555,385 1,666,156 833,078 416,539 1,249,618 624,809 1,874,428 937,214 468,607 1,405,822 702,911 2,108,734 1,054,367 3,163,102 1,581,551 4,744,654 2,372,327 7,116,982 3,558,491 10,675,474 5,337,737 16,013,212 8,006,606 4,003,303 12,009,910 6,004,955 18,014,866 9,007,433 27,022,300 13,511,150 6,755,575 20,266,726 10,133,363 30,400,090 15,200,045 45,600,136 22,800,068 11,400,034 5,700,017 17,100,052 8,550,026 4,275,013 12,825,040 6,412,520 3,206,260 1,603,130 801,565 2,404,696 1,202,348 601,174 300,587 901,762

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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