2² × 3² × 5 × 13 × 47

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 366,912

Proper Divisor Sum 256,932

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #109961 ← → #109987

Radix Representation

Decimal	109980
Binary	11010110110011100 (17 bits)
Octal	0o326634
Hexadecimal	0x1AD9C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 195 234 235 260 282 390 423 468 470 564 585 611 705 780 846 940 1,170 1,222 1,410 1,692 1,833 2,115 2,340 2,444 2,820 3,055 3,666 4,230 5,499

Collatz Trajectory (216 steps to reach 1)

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

109,980 54,990 27,495 82,486 41,243 123,730 61,865 185,596 92,798 46,399 139,198 69,599 208,798 104,399 313,198 156,599 469,798 234,899 704,698 352,349 1,057,048 528,524 264,262 132,131 396,394 198,197 594,592 297,296 148,648 74,324 37,162 18,581 55,744 27,872 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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