2³ × 3⁶ × 11²

Prime Factor Structure

Factorization String 2^3 × 3^6 × 11^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 2,180,535

Proper Divisor Sum 1,474,863

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #705643 ← → #705689

Radix Representation

Decimal	705672
Binary	10101100010010001000 (20 bits)
Octal	0o2542210
Hexadecimal	0xAC488

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 243 264 297 324 363 396 484 486 594 648 726 729 792 891 968 972 1,089 1,188 1,452 1,458 1,782 1,944 2,178 2,376 2,673 2,904 2,916 3,267 3,564 4,356 5,346

Collatz Trajectory (149 steps to reach 1)

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

705,672 352,836 176,418 88,209 264,628 132,314 66,157 198,472 99,236 49,618 24,809 74,428 37,214 18,607 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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