2³ × 3² × 5² × 61

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 374,790

Proper Divisor Sum 264,990

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #109793 ← → #109807

Radix Representation

Decimal	109800
Binary	11010110011101000 (17 bits)
Octal	0o326350
Hexadecimal	0x1ACE8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1,098 1,220 1,464 1,525 1,800 1,830 2,196 2,440 2,745 3,050 3,660 4,392 4,575 5,490

Collatz Trajectory (123 steps to reach 1)

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

109,800 54,900 27,450 13,725 41,176 20,588 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496

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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