2⁵ × 3² × 5³ × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,022,112

Proper Divisor Sum 770,112

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #251983 ← → #252001

Radix Representation

Decimal	252000
Binary	111101100001100000 (18 bits)
Octal	0o754140
Hexadecimal	0x3D860

Divisor Catalog (60 of 144)

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 70 72 75 80 84 90 96 100 105 112 120 125 126 140 144 150 160 168 175 180 200 210 224 225 240 250 252 280

Collatz Trajectory (132 steps to reach 1)

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

252,000 126,000 63,000 31,500 15,750 7,875 23,626 11,813 35,440 17,720 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544

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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