2⁶ × 3³ × 11 × 13 × 17

Prime Factor Structure

Factorization String 2^6 × 3^3 × 11 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 224

Divisor Sum (σ) 15,361,920

Proper Divisor Sum 11,161,152

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4200761 ← → #4200769

Radix Representation

Decimal	4200768
Binary	10000000001100101000000 (23 bits)
Octal	0o20014500
Hexadecimal	0x401940

Divisor Catalog (60 of 224)

1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 64 66 68 72 78 88 96 99 102 104 108 117 132 136 143 144 153 156 176 187 192 198 204 208 216 221 234 264 272 286 288 297 306

Collatz Trajectory (105 steps to reach 1)

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

4,200,768 2,100,384 1,050,192 525,096 262,548 131,274 65,637 196,912 98,456 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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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