2³ × 3 × 5 × 19 × 31 × 53

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 19 × 31 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,441,600

Proper Divisor Sum 8,695,560

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3746027 ← → #3746051

Radix Representation

Decimal	3746040
Binary	1110010010100011111000 (22 bits)
Octal	0o16224370
Hexadecimal	0x3928F8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 53 57 60 62 76 93 95 106 114 120 124 152 155 159 186 190 212 228 248 265 285 310 318 372 380 424 456 465 530 570 589 620 636 744 760 795 930 1,007 1,060 1,140 1,178 1,240 1,272

Collatz Trajectory (172 steps to reach 1)

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

3,746,040 1,873,020 936,510 468,255 1,404,766 702,383 2,107,150 1,053,575 3,160,726 1,580,363 4,741,090 2,370,545 7,111,636 3,555,818 1,777,909 5,333,728 2,666,864 1,333,432 666,716 333,358 166,679 500,038 250,019 750,058 375,029 1,125,088 562,544 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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