2⁴ × 3² × 5³ × 17²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 19,300,476

Proper Divisor Sum 14,098,476

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #5201993 ← → #5202023

Radix Representation

Decimal	5202000
Binary	10011110110000001010000 (23 bits)
Octal	0o23660120
Hexadecimal	0x4F6050

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 68 72 75 80 85 90 100 102 120 125 136 144 150 153 170 180 200 204 225 240 250 255 272 289 300 306 340 360 375 400 408 425 450 500

Collatz Trajectory (188 steps to reach 1)

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

5,202,000 2,601,000 1,300,500 650,250 325,125 975,376 487,688 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

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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