2⁴ × 3² × 5² × 7 × 251

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 7 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 25,185,888

Proper Divisor Sum 18,860,688

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6325183 ← → #6325201

Radix Representation

Decimal	6325200
Binary	11000001000001111010000 (23 bits)
Octal	0o30101720
Hexadecimal	0x6083D0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 126 140 144 150 168 175 180 200 210 225 240 251 252 280 300 315 336 350 360

Collatz Trajectory (152 steps to reach 1)

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

6,325,200 3,162,600 1,581,300 790,650 395,325 1,185,976 592,988 296,494 148,247 444,742 222,371 667,114 333,557 1,000,672 500,336 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542 52,771 158,314 79,157 237,472 118,736 59,368 29,684 14,842 7,421 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694

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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