2³ × 3³ × 13 × 29 × 59

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 29 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 15,120,000

Proper Divisor Sum 10,315,512

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4804463 ← → #4804529

Radix Representation

Decimal	4804488
Binary	10010010100111110001000 (23 bits)
Octal	0o22247610
Hexadecimal	0x494F88

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 59 72 78 87 104 108 116 117 118 156 174 177 216 232 234 236 261 312 348 351 354 377 468 472 522 531 696 702 708 754 767 783 936 1,044 1,062 1,131 1,404 1,416 1,508 1,534 1,566

Collatz Trajectory (118 steps to reach 1)

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

4,804,488 2,402,244 1,201,122 600,561 1,801,684 900,842 450,421 1,351,264 675,632 337,816 168,908 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

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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