2³ × 3 × 7 × 13 × 17

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 120,960

Proper Divisor Sum 83,832

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #37123 ← → #37139

Radix Representation

Decimal	37128
Binary	1001000100001000 (16 bits)
Octal	0o110410
Hexadecimal	0x9108

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1,092 1,326 1,428 1,547 1,768 2,184 2,652 2,856 3,094 4,641 5,304 6,188

Collatz Trajectory (62 steps to reach 1)

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

37,128 18,564 9,282 4,641 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 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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