2³ × 3⁵ × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,354,080

Proper Divisor Sum 1,013,880

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #340183 ← → #340201

Radix Representation

Decimal	340200
Binary	1010011000011101000 (19 bits)
Octal	0o1230350
Hexadecimal	0x530E8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 81 84 90 100 105 108 120 126 135 140 150 162 168 175 180 189 200 210 216 225 243 252 270 280 300 315

Collatz Trajectory (60 steps to reach 1)

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

340,200 170,100 85,050 42,525 127,576 63,788 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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