2² × 3³ × 11 × 13 × 31

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,505,280

Proper Divisor Sum 1,026,516

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #478763 ← → #478769

Radix Representation

Decimal	478764
Binary	1110100111000101100 (19 bits)
Octal	0o1647054
Hexadecimal	0x74E2C

Divisor Catalog (60 of 96)

1 2 3 4 6 9 11 12 13 18 22 26 27 31 33 36 39 44 52 54 62 66 78 93 99 108 117 124 132 143 156 186 198 234 279 286 297 341 351 372 396 403 429 468 558 572 594 682 702 806 837 858 1,023 1,116 1,188 1,209 1,287 1,364 1,404 1,612

Collatz Trajectory (120 steps to reach 1)

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

478,764 239,382 119,691 359,074 179,537 538,612 269,306 134,653 403,960 201,980 100,990 50,495 151,486 75,743 227,230 113,615 340,846 170,423 511,270 255,635 766,906 383,453 1,150,360 575,180 287,590 143,795 431,386 215,693 647,080 323,540 161,770 80,885 242,656 121,328 60,664 30,332 15,166 7,583 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 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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