2³ × 5² × 11 × 17

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 100,440

Proper Divisor Sum 63,040

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #37397 ← → #37409

Radix Representation

Decimal	37400
Binary	1001001000011000 (16 bits)
Octal	0o111030
Hexadecimal	0x9218

Divisor Catalog (48)

1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1,100 1,496 1,700 1,870 2,200 3,400 3,740 4,675 7,480 9,350 18,700 37,400

Collatz Trajectory (62 steps to reach 1)

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

37,400 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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