2² × 3⁴ × 7² × 31

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 1,544,928

Proper Divisor Sum 1,052,772

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #492113 ← → #492227

Radix Representation

Decimal	492156
Binary	1111000001001111100 (19 bits)
Octal	0o1701174
Hexadecimal	0x7827C

Divisor Catalog (60 of 90)

1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 81 84 93 98 108 124 126 147 162 186 189 196 217 252 279 294 324 372 378 434 441 558 567 588 651 756 837 868 882 1,116 1,134 1,302 1,323 1,519 1,674 1,764 1,953 2,268 2,511 2,604

Collatz Trajectory (107 steps to reach 1)

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

492,156 246,078 123,039 369,118 184,559 553,678 276,839 830,518 415,259 1,245,778 622,889 1,868,668 934,334 467,167 1,401,502 700,751 2,102,254 1,051,127 3,153,382 1,576,691 4,730,074 2,365,037 7,095,112 3,547,556 1,773,778 886,889 2,660,668 1,330,334 665,167 1,995,502 997,751 2,993,254 1,496,627 4,489,882 2,244,941 6,734,824 3,367,412 1,683,706 841,853 2,525,560 1,262,780 631,390 315,695 947,086 473,543 1,420,630 710,315 2,130,946 1,065,473 3,196,420 1,598,210 799,105 2,397,316 1,198,658 599,329 1,797,988 898,994 449,497 1,348,492 674,246

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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