2⁸ × 5³ × 7 × 37

Prime Factor Structure

Factorization String 2^8 × 5^3 × 7 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 24,233,664

Proper Divisor Sum 15,945,664

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8287991 ← → #8288011

Radix Representation

Decimal	8288000
Binary	11111100111011100000000 (23 bits)
Octal	0o37473400
Hexadecimal	0x7E7700

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 50 56 64 70 74 80 100 112 125 128 140 148 160 175 185 200 224 250 256 259 280 296 320 350 370 400 448 500 518 560 592 640 700 740 800 875 896 925 1,000 1,036 1,120 1,184 1,280 1,295

Collatz Trajectory (168 steps to reach 1)

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

8,288,000 4,144,000 2,072,000 1,036,000 518,000 259,000 129,500 64,750 32,375 97,126 48,563 145,690 72,845 218,536 109,268 54,634 27,317 81,952 40,976 20,488 10,244 5,122 2,561 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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