2 × 3⁵ × 5 × 7 × 41

Prime Factor Structure

Factorization String 2 × 3^5 × 5 × 7 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,201,472

Proper Divisor Sum 1,504,062

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #697409 ← → #697423

Radix Representation

Decimal	697410
Binary	10101010010001000010 (20 bits)
Octal	0o2522102
Hexadecimal	0xAA442

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 81 82 90 105 123 126 135 162 189 205 210 243 246 270 287 315 369 378 405 410 486 567 574 615 630 738 810 861 945 1,107 1,134 1,215 1,230 1,435 1,701 1,722 1,845 1,890 2,214

Collatz Trajectory (198 steps to reach 1)

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

697,410 348,705 1,046,116 523,058 261,529 784,588 392,294 196,147 588,442 294,221 882,664 441,332 220,666 110,333 331,000 165,500 82,750 41,375 124,126 62,063 186,190 93,095 279,286 139,643 418,930 209,465 628,396 314,198 157,099 471,298 235,649 706,948 353,474 176,737 530,212 265,106 132,553 397,660 198,830 99,415 298,246 149,123 447,370 223,685 671,056 335,528 167,764 83,882 41,941 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950 1,475 4,426

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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