2⁹ × 3² × 17

Prime Factor Structure

Factorization String 2^9 × 3^2 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 239,382

Proper Divisor Sum 161,046

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #78317 ← → #78341

Radix Representation

Decimal	78336
Binary	10011001000000000 (17 bits)
Octal	0o231000
Hexadecimal	0x13200

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1,088 1,152 1,224 1,536 1,632 2,176 2,304 2,448 3,264 4,352 4,608 4,896 6,528 8,704 9,792 13,056 19,584 26,112 39,168 78,336

Collatz Trajectory (45 steps to reach 1)

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

78,336 39,168 19,584 9,792 4,896 2,448 1,224 612 306 153 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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