2⁴ × 3⁴ × 7³

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 1,500,400

Proper Divisor Sum 1,055,872

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #444527 ← → #444529

Radix Representation

Decimal	444528
Binary	1101100100001110000 (19 bits)
Octal	0o1544160
Hexadecimal	0x6C870

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 343 378 392 432 441 504 567 588 648 686 756 784 882 1,008 1,029 1,134 1,176 1,296 1,323

Collatz Trajectory (143 steps to reach 1)

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

444,528 222,264 111,132 55,566 27,783 83,350 41,675 125,026 62,513 187,540 93,770 46,885 140,656 70,328 35,164 17,582 8,791 26,374 13,187 39,562 19,781 59,344 29,672 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825

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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