2³ × 3⁴ × 5 × 11 × 17 × 61

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5 × 11 × 17 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 320

Divisor Sum (σ) 145,838,880

Proper Divisor Sum 108,880,200

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36958643 ← → #36958687

Radix Representation

Decimal	36958680
Binary	10001100111111000111011000 (26 bits)
Octal	0o214770730
Hexadecimal	0x233F1D8

Divisor Catalog (60 of 320)

1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 27 30 33 34 36 40 44 45 51 54 55 60 61 66 68 72 81 85 88 90 99 102 108 110 120 122 132 135 136 153 162 165 170 180 183 187 198 204 216 220 244 255 264

Collatz Trajectory (134 steps to reach 1)

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

36,958,680 18,479,340 9,239,670 4,619,835 13,859,506 6,929,753 20,789,260 10,394,630 5,197,315 15,591,946 7,795,973 23,387,920 11,693,960 5,846,980 2,923,490 1,461,745 4,385,236 2,192,618 1,096,309 3,288,928 1,644,464 822,232 411,116 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093 156,280 78,140 39,070

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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