2 × 3² × 5² × 13 × 19

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 13 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 338,520

Proper Divisor Sum 227,370

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #111149 ← → #111187

Radix Representation

Decimal	111150
Binary	11011001000101110 (17 bits)
Octal	0o331056
Hexadecimal	0x1B22E

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 325 342 390 450 475 494 570 585 650 741 855 950 975 1,170 1,235 1,425 1,482 1,710 1,950 2,223 2,470 2,850 2,925 3,705 4,275

Collatz Trajectory (141 steps to reach 1)

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

111,150 55,575 166,726 83,363 250,090 125,045 375,136 187,568 93,784 46,892 23,446 11,723 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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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