2⁵ × 3⁴ × 5 × 59

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,744,280

Proper Divisor Sum 1,979,640

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #764629 ← → #764657

Radix Representation

Decimal	764640
Binary	10111010101011100000 (20 bits)
Octal	0o2725340
Hexadecimal	0xBAAE0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 59 60 72 80 81 90 96 108 118 120 135 144 160 162 177 180 216 236 240 270 288 295 324 354 360 405 432 472 480 531 540 590 648 708 720 810 864

Collatz Trajectory (100 steps to reach 1)

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

764,640 382,320 191,160 95,580 47,790 23,895 71,686 35,843 107,530 53,765 161,296 80,648 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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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