2⁶ × 5² × 7 × 11

Prime Factor Structure

Factorization String 2^6 × 5^2 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 377,952

Proper Divisor Sum 254,752

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #123191 ← → #123203

Radix Representation

Decimal	123200
Binary	11110000101000000 (17 bits)
Octal	0o360500
Hexadecimal	0x1E140

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 320 350 352 385 400 440 448 550 560 616 700 704 770 800 880 1,100 1,120 1,232 1,400 1,540

Collatz Trajectory (56 steps to reach 1)

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

123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 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 #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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