2² × 3² × 5 × 31 × 37 × 47

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 31 × 37 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 31,868,928

Proper Divisor Sum 22,165,308

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9703619 ← → #9703627

Radix Representation

Decimal	9703620
Binary	100101000001000011000100 (24 bits)
Octal	0o45010304
Hexadecimal	0x9410C4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 47 60 62 74 90 93 94 111 124 141 148 155 180 185 186 188 222 235 279 282 310 333 370 372 423 444 465 470 555 558 564 620 666 705 740 846 930 940 1,110 1,116 1,147 1,332 1,395

Collatz Trajectory (70 steps to reach 1)

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

9,703,620 4,851,810 2,425,905 7,277,716 3,638,858 1,819,429 5,458,288 2,729,144 1,364,572 682,286 341,143 1,023,430 511,715 1,535,146 767,573 2,302,720 1,151,360 575,680 287,840 143,920 71,960 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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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