2 × 3⁴ × 5 × 7 × 31 × 41

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 7 × 31 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 23,417,856

Proper Divisor Sum 16,211,286

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7206547 ← → #7206581

Radix Representation

Decimal	7206570
Binary	11011011111011010101010 (23 bits)
Octal	0o33373252
Hexadecimal	0x6DF6AA

Divisor Catalog (60 of 160)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 41 42 45 54 62 63 70 81 82 90 93 105 123 126 135 155 162 186 189 205 210 217 246 270 279 287 310 315 369 378 405 410 434 465 558 567 574 615 630 651 738 810 837 861

Collatz Trajectory (116 steps to reach 1)

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

7,206,570 3,603,285 10,809,856 5,404,928 2,702,464 1,351,232 675,616 337,808 168,904 84,452 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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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