2⁶ × 3 × 5 × 11 × 661

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 11 × 661

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 24,213,312

Proper Divisor Sum 17,233,152

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6980159 ← → #6980167

Radix Representation

Decimal	6980160
Binary	11010101000001001000000 (23 bits)
Octal	0o32501100
Hexadecimal	0x6A8240

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 661 704 880 960 1,056 1,320 1,322 1,760 1,983 2,112 2,640 2,644 3,305 3,520 3,966

Collatz Trajectory (72 steps to reach 1)

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

6,980,160 3,490,080 1,745,040 872,520 436,260 218,130 109,065 327,196 163,598 81,799 245,398 122,699 368,098 184,049 552,148 276,074 138,037 414,112 207,056 103,528 51,764 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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