2⁷ × 3 × 5² × 73

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,339,880

Proper Divisor Sum 1,639,080

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #700789 ← → #700801

Radix Representation

Decimal	700800
Binary	10101011000110000000 (20 bits)
Octal	0o2530600
Hexadecimal	0xAB180

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 73 75 80 96 100 120 128 146 150 160 192 200 219 240 292 300 320 365 384 400 438 480 584 600 640 730 800 876 960 1,095 1,168 1,200 1,460 1,600 1,752 1,825 1,920 2,190 2,336

Collatz Trajectory (48 steps to reach 1)

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

700,800 350,400 175,200 87,600 43,800 21,900 10,950 5,475 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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