2⁵ × 3⁴ × 5 × 29

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,372,140

Proper Divisor Sum 996,300

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #375833 ← → #375841

Radix Representation

Decimal	375840
Binary	1011011110000100000 (19 bits)
Octal	0o1336040
Hexadecimal	0x5BC20

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 72 80 81 87 90 96 108 116 120 135 144 145 160 162 174 180 216 232 240 261 270 288 290 324 348 360 405 432 435 464 480 522 540 580

Collatz Trajectory (86 steps to reach 1)

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

375,840 187,920 93,960 46,980 23,490 11,745 35,236 17,618 8,809 26,428 13,214 6,607 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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