2⁴ × 3² × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 99,944

Proper Divisor Sum 74,744

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #25189 ← → #25219

Radix Representation

Decimal	25200
Binary	110001001110000 (15 bits)
Octal	0o61160
Hexadecimal	0x6270

Divisor Catalog (60 of 90)

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 90 100 105 112 120 126 140 144 150 168 175 180 200 210 225 240 252 280 300 315 336 350 360 400

Collatz Trajectory (64 steps to reach 1)

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

25,200 12,600 6,300 3,150 1,575 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5

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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