2³ × 3³ × 17 × 31 × 61

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 21,427,200

Proper Divisor Sum 14,483,448

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6943751 ← → #6943763

Radix Representation

Decimal	6943752
Binary	11010011111010000001000 (23 bits)
Octal	0o32372010
Hexadecimal	0x69F408

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 61 62 68 72 93 102 108 122 124 136 153 183 186 204 216 244 248 279 306 366 372 408 459 488 527 549 558 612 732 744 837 918 1,037 1,054 1,098 1,116 1,224 1,464 1,581 1,647 1,674 1,836 1,891

Collatz Trajectory (253 steps to reach 1)

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

6,943,752 3,471,876 1,735,938 867,969 2,603,908 1,301,954 650,977 1,952,932 976,466 488,233 1,464,700 732,350 366,175 1,098,526 549,263 1,647,790 823,895 2,471,686 1,235,843 3,707,530 1,853,765 5,561,296 2,780,648 1,390,324 695,162 347,581 1,042,744 521,372 260,686 130,343 391,030 195,515 586,546 293,273 879,820 439,910 219,955 659,866 329,933 989,800 494,900 247,450 123,725 371,176 185,588 92,794 46,397 139,192 69,596 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044

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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