2 × 3³ × 5 × 7 × 13 × 193

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 13 × 193

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 15,644,160

Proper Divisor Sum 10,902,150

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4741991 ← → #4742011

Radix Representation

Decimal	4742010
Binary	10010000101101101111010 (23 bits)
Octal	0o22055572
Hexadecimal	0x485B7A

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 193 195 210 234 270 273 315 351 378 386 390 455 546 579 585 630 702 819 910 945 965 1,158 1,170 1,351 1,365 1,638

Collatz Trajectory (149 steps to reach 1)

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

4,742,010 2,371,005 7,113,016 3,556,508 1,778,254 889,127 2,667,382 1,333,691 4,001,074 2,000,537 6,001,612 3,000,806 1,500,403 4,501,210 2,250,605 6,751,816 3,375,908 1,687,954 843,977 2,531,932 1,265,966 632,983 1,898,950 949,475 2,848,426 1,424,213 4,272,640 2,136,320 1,068,160 534,080 267,040 133,520 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020

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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