2⁶ × 5² × 17

Prime Factor Structure

Factorization String 2^6 × 5^2 × 17

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 70,866

Proper Divisor Sum 43,666

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #27197 ← → #27211

Radix Representation

Decimal	27200
Binary	110101001000000 (15 bits)
Octal	0o65100
Hexadecimal	0x6A40

Divisor Catalog (42)

1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1,088 1,360 1,600 1,700 2,720 3,400 5,440 6,800 13,600 27,200

Collatz Trajectory (64 steps to reach 1)

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

27,200 13,600 6,800 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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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