2⁸ × 3³ × 7²

Prime Factor Structure

Factorization String 2^8 × 3^3 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,165,080

Proper Divisor Sum 826,392

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #338687 ← → #338707

Radix Representation

Decimal	338688
Binary	1010010101100000000 (19 bits)
Octal	0o1225400
Hexadecimal	0x52B00

Divisor Catalog (60 of 108)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 576 588 672 756 768 784 864

Collatz Trajectory (60 steps to reach 1)

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

338,688 169,344 84,672 42,336 21,168 10,584 5,292 2,646 1,323 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 67 202 101 304 152 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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