2⁶ × 3² × 11 × 113

Prime Factor Structure

Factorization String 2^6 × 3^2 × 11 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 2,258,568

Proper Divisor Sum 1,542,600

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #715963 ← → #715969

Radix Representation

Decimal	715968
Binary	10101110110011000000 (20 bits)
Octal	0o2566300
Hexadecimal	0xAECC0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 113 132 144 176 192 198 226 264 288 339 352 396 452 528 576 678 704 792 904 1,017 1,056 1,243 1,356 1,584 1,808 2,034 2,112 2,486 2,712 3,168 3,616 3,729 4,068 4,972 5,424 6,336

Collatz Trajectory (74 steps to reach 1)

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

715,968 357,984 178,992 89,496 44,748 22,374 11,187 33,562 16,781 50,344 25,172 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22

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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