2² × 3 × 5³ × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 78,624

Proper Divisor Sum 53,124

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #25471 ← → #25523

Radix Representation

Decimal	25500
Binary	110001110011100 (15 bits)
Octal	0o61634
Hexadecimal	0x639C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 750 850 1,020 1,275 1,500 1,700 2,125 2,550 4,250 5,100 6,375 8,500 12,750 25,500

Collatz Trajectory (201 steps to reach 1)

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

25,500 12,750 6,375 19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991

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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