2⁴ × 3² × 7² × 41

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 964,782

Proper Divisor Sum 675,486

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #289291 ← → #289297

Radix Representation

Decimal	289296
Binary	1000110101000010000 (19 bits)
Octal	0o1065020
Hexadecimal	0x46A10

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 49 56 63 72 82 84 98 112 123 126 144 147 164 168 196 246 252 287 294 328 336 369 392 441 492 504 574 588 656 738 784 861 882 984 1,008 1,148 1,176 1,476 1,722 1,764 1,968

Collatz Trajectory (96 steps to reach 1)

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

289,296 144,648 72,324 36,162 18,081 54,244 27,122 13,561 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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