2⁷ × 3⁴ × 7 × 11

Prime Factor Structure

Factorization String 2^7 × 3^4 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 2,962,080

Proper Divisor Sum 2,163,744

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #798331 ← → #798373

Radix Representation

Decimal	798336
Binary	11000010111010000000 (20 bits)
Octal	0o3027200
Hexadecimal	0xC2E80

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 81 84 88 96 99 108 112 126 128 132 144 154 162 168 176 189 192 198 216 224 231 252 264 288 297 308 324 336 352

Collatz Trajectory (69 steps to reach 1)

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

798,336 399,168 199,584 99,792 49,896 24,948 12,474 6,237 18,712 9,356 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

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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