2 × 3² × 5 × 7² × 13 × 349

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 13 × 349

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 65,356,200

Proper Divisor Sum 45,348,030

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #20008169 ← → #20008171

Radix Representation

Decimal	20008170
Binary	1001100010100110011101010 (25 bits)
Octal	0o114246352
Hexadecimal	0x1314CEA

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 349 390 441 455 490 546 585 630 637 698 735 819 882 910 1,047 1,170 1,274 1,365 1,470 1,638

Collatz Trajectory (177 steps to reach 1)

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

20,008,170 10,004,085 30,012,256 15,006,128 7,503,064 3,751,532 1,875,766 937,883 2,813,650 1,406,825 4,220,476 2,110,238 1,055,119 3,165,358 1,582,679 4,748,038 2,374,019 7,122,058 3,561,029 10,683,088 5,341,544 2,670,772 1,335,386 667,693 2,003,080 1,001,540 500,770 250,385 751,156 375,578 187,789 563,368 281,684 140,842 70,421 211,264 105,632 52,816 26,408 13,204 6,602 3,301 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589

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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