2³ × 3 × 5² × 11 × 167

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,749,760

Proper Divisor Sum 2,647,560

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #1102187 ← → #1102201

Radix Representation

Decimal	1102200
Binary	100001101000101111000 (21 bits)
Octal	0o4150570
Hexadecimal	0x10D178

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 167 200 220 264 275 300 330 334 440 501 550 600 660 668 825 835 1,002 1,100 1,320 1,336 1,650 1,670 1,837 2,004 2,200 2,505 3,300 3,340 3,674

Collatz Trajectory (209 steps to reach 1)

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

1,102,200 551,100 275,550 137,775 413,326 206,663 619,990 309,995 929,986 464,993 1,394,980 697,490 348,745 1,046,236 523,118 261,559 784,678 392,339 1,177,018 588,509 1,765,528 882,764 441,382 220,691 662,074 331,037 993,112 496,556 248,278 124,139 372,418 186,209 558,628 279,314 139,657 418,972 209,486 104,743 314,230 157,115 471,346 235,673 707,020 353,510 176,755 530,266 265,133 795,400 397,700 198,850 99,425 298,276 149,138 74,569 223,708 111,854 55,927 167,782 83,891 251,674

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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