2⁶ × 3 × 5 × 7 × 131

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 3,218,688

Proper Divisor Sum 2,338,368

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #880303 ← → #880331

Radix Representation

Decimal	880320
Binary	11010110111011000000 (20 bits)
Octal	0o3267300
Hexadecimal	0xD6EC0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 131 140 160 168 192 210 224 240 262 280 320 336 393 420 448 480 524 560 655 672 786 840 917 960 1,048 1,120 1,310

Collatz Trajectory (188 steps to reach 1)

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

880,320 440,160 220,080 110,040 55,020 27,510 13,755 41,266 20,633 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935

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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