2 × 3⁴ × 7 × 11 × 13

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 487,872

Proper Divisor Sum 325,710

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #162143 ← → #162209

Radix Representation

Decimal	162162
Binary	100111100101110010 (18 bits)
Octal	0o474562
Hexadecimal	0x27972

Divisor Catalog (60 of 80)

1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1,001 1,053 1,134 1,287 1,386 1,638 1,782 2,002 2,079 2,106

Collatz Trajectory (90 steps to reach 1)

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

162,162 81,081 243,244 121,622 60,811 182,434 91,217 273,652 136,826 68,413 205,240 102,620 51,310 25,655 76,966 38,483 115,450 57,725 173,176 86,588 43,294 21,647 64,942 32,471 97,414 48,707 146,122 73,061 219,184 109,592 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172

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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