2³ × 3 × 7² × 11 × 37

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,559,520

Proper Divisor Sum 1,080,888

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #478631 ← → #478637

Radix Representation

Decimal	478632
Binary	1110100110110101000 (19 bits)
Octal	0o1646650
Hexadecimal	0x74DA8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 37 42 44 49 56 66 74 77 84 88 98 111 132 147 148 154 168 196 222 231 259 264 294 296 308 392 407 444 462 518 539 588 616 777 814 888 924 1,036 1,078 1,176 1,221 1,554 1,617 1,628 1,813

Collatz Trajectory (120 steps to reach 1)

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

478,632 239,316 119,658 59,829 179,488 89,744 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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