2³ × 3² × 5 × 7 × 131

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,235,520

Proper Divisor Sum 905,400

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #330103 ← → #330131

Radix Representation

Decimal	330120
Binary	1010000100110001000 (19 bits)
Octal	0o1204610
Hexadecimal	0x50988

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 131 140 168 180 210 252 262 280 315 360 393 420 504 524 630 655 786 840 917 1,048 1,179 1,260 1,310 1,572 1,834 1,965

Collatz Trajectory (184 steps to reach 1)

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

330,120 165,060 82,530 41,265 123,796 61,898 30,949 92,848 46,424 23,212 11,606 5,803 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105

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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