2 × 3² × 5 × 7 × 11 × 13

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11 × 13

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 314,496

Proper Divisor Sum 224,406

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #90089 ← → #90107

Radix Representation

Decimal	90090
Binary	10101111111101010 (17 bits)
Octal	0o257752
Hexadecimal	0x15FEA

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 33 35 39 42 45 55 63 65 66 70 77 78 90 91 99 105 110 117 126 130 143 154 165 182 195 198 210 231 234 273 286 315 330 385 390 429 455 462 495 546 585 630 693

Collatz Trajectory (164 steps to reach 1)

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

90,090 45,045 135,136 67,568 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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