2³ × 3² × 5 × 7 × 31 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 31 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 14,376,960

Proper Divisor Sum 10,705,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3671627 ← → #3671663

Radix Representation

Decimal	3671640
Binary	1110000000011001011000 (22 bits)
Octal	0o16003130
Hexadecimal	0x380658

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 31 35 36 40 42 45 47 56 60 62 63 70 72 84 90 93 94 105 120 124 126 140 141 155 168 180 186 188 210 217 235 248 252 279 280 282 310 315 329 360 372

Collatz Trajectory (84 steps to reach 1)

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

3,671,640 1,835,820 917,910 458,955 1,376,866 688,433 2,065,300 1,032,650 516,325 1,548,976 774,488 387,244 193,622 96,811 290,434 145,217 435,652 217,826 108,913 326,740 163,370 81,685 245,056 122,528 61,264 30,632 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650

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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