2⁶ × 3² × 7 × 23 × 73

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 23 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 23,457,408

Proper Divisor Sum 16,687,680

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6769703 ← → #6769733

Radix Representation

Decimal	6769728
Binary	11001110100110001000000 (23 bits)
Octal	0o31646100
Hexadecimal	0x674C40

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 64 69 72 73 84 92 96 112 126 138 144 146 161 168 184 192 207 219 224 252 276 288 292 322 336 368 414 438 448 483 504 511 552 576 584 644 657

Collatz Trajectory (178 steps to reach 1)

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

6,769,728 3,384,864 1,692,432 846,216 423,108 211,554 105,777 317,332 158,666 79,333 238,000 119,000 59,500 29,750 14,875 44,626 22,313 66,940 33,470 16,735 50,206 25,103 75,310 37,655 112,966 56,483 169,450 84,725 254,176 127,088 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

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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