2 × 3⁴ × 5² × 11 × 17

Prime Factor Structure

Factorization String 2 × 3^4 × 5^2 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,430,648

Proper Divisor Sum 1,673,298

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #757343 ← → #757363

Radix Representation

Decimal	757350
Binary	10111000111001100110 (20 bits)
Octal	0o2707146
Hexadecimal	0xB8E66

Divisor Catalog (60 of 120)

1 2 3 5 6 9 10 11 15 17 18 22 25 27 30 33 34 45 50 51 54 55 66 75 81 85 90 99 102 110 135 150 153 162 165 170 187 198 225 255 270 275 297 306 330 374 405 425 450 459 495 510 550 561 594 675 765 810 825 850

Collatz Trajectory (224 steps to reach 1)

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

757,350 378,675 1,136,026 568,013 1,704,040 852,020 426,010 213,005 639,016 319,508 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835

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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