2² × 3² × 5 × 13 × 17 × 239

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 17 × 239

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 33,022,080

Proper Divisor Sum 23,514,660

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9507419 ← → #9507427

Radix Representation

Decimal	9507420
Binary	100100010001001001011100 (24 bits)
Octal	0o44211134
Hexadecimal	0x91125C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 239 255 260 306 340 390 442 468 478 510 585 612 663 717 765 780 884 956 1,020 1,105 1,170

Collatz Trajectory (101 steps to reach 1)

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

9,507,420 4,753,710 2,376,855 7,130,566 3,565,283 10,695,850 5,347,925 16,043,776 8,021,888 4,010,944 2,005,472 1,002,736 501,368 250,684 125,342 62,671 188,014 94,007 282,022 141,011 423,034 211,517 634,552 317,276 158,638 79,319 237,958 118,979 356,938 178,469 535,408 267,704 133,852 66,926 33,463 100,390 50,195 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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