2³ × 3³ × 5 × 7² × 11 × 17

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7^2 × 11 × 17

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 384

Divisor Sum (σ) 44,323,200

Proper Divisor Sum 34,427,160

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9896039 ← → #9896041

Radix Representation

Decimal	9896040
Binary	100101110000000001101000 (24 bits)
Octal	0o45600150
Hexadecimal	0x970068

Divisor Catalog (60 of 384)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 17 18 20 21 22 24 27 28 30 33 34 35 36 40 42 44 45 49 51 54 55 56 60 63 66 68 70 72 77 84 85 88 90 98 99 102 105 108 110 119 120 126 132 135 136 140

Collatz Trajectory (176 steps to reach 1)

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

9,896,040 4,948,020 2,474,010 1,237,005 3,711,016 1,855,508 927,754 463,877 1,391,632 695,816 347,908 173,954 86,977 260,932 130,466 65,233 195,700 97,850 48,925 146,776 73,388 36,694 18,347 55,042 27,521 82,564 41,282 20,641 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744

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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