2⁵ × 3² × 877

Prime Factor Structure

Factorization String 2^5 × 3^2 × 877

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 719,082

Proper Divisor Sum 466,506

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #252559 ← → #252583

Radix Representation

Decimal	252576
Binary	111101101010100000 (18 bits)
Octal	0o755240
Hexadecimal	0x3DAA0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 877 1,754 2,631 3,508 5,262 7,016 7,893 10,524 14,032 15,786 21,048 28,064 31,572 42,096 63,144 84,192 126,288 252,576

Collatz Trajectory (57 steps to reach 1)

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

252,576 126,288 63,144 31,572 15,786 7,893 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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