2⁷ × 3² × 7 × 43

Prime Factor Structure

Factorization String 2^7 × 3^2 × 7 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,166,880

Proper Divisor Sum 820,128

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #346751 ← → #346763

Radix Representation

Decimal	346752
Binary	1010100101010000000 (19 bits)
Octal	0o1245200
Hexadecimal	0x54A80

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 64 72 84 86 96 112 126 128 129 144 168 172 192 224 252 258 288 301 336 344 384 387 448 504 516 576 602 672 688 774 896 903 1,008 1,032 1,152 1,204 1,344 1,376

Collatz Trajectory (60 steps to reach 1)

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

346,752 173,376 86,688 43,344 21,672 10,836 5,418 2,709 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 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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