2⁶ × 3² × 5² × 7

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 409,448

Proper Divisor Sum 308,648

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #100799 ← → #100801

Radix Representation

Decimal	100800
Binary	11000100111000000 (17 bits)
Octal	0o304700
Hexadecimal	0x189C0

Divisor Catalog (60 of 126)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 140 144 150 160 168 175 180 192 200 210 224 225 240 252 280

Collatz Trajectory (66 steps to reach 1)

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

100,800 50,400 25,200 12,600 6,300 3,150 1,575 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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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