2³ × 3² × 5 × 7 × 79

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 748,800

Proper Divisor Sum 549,720

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #199049 ← → #199081

Radix Representation

Decimal	199080
Binary	110000100110101000 (18 bits)
Octal	0o604650
Hexadecimal	0x309A8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 79 84 90 105 120 126 140 158 168 180 210 237 252 280 315 316 360 395 420 474 504 553 630 632 711 790 840 948 1,106 1,185 1,260

Collatz Trajectory (41 steps to reach 1)

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

199,080 99,540 49,770 24,885 74,656 37,328 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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