2² × 3² × 7 × 11 × 13 × 271

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 11 × 13 × 271

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 33,266,688

Proper Divisor Sum 23,500,932

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9765751 ← → #9765757

Radix Representation

Decimal	9765756
Binary	100101010000001101111100 (24 bits)
Octal	0o45201574
Hexadecimal	0x95037C

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 271 273 286 308 364 396 429 462 468 542 546 572 693 813 819 858 924 1,001 1,084 1,092

Collatz Trajectory (269 steps to reach 1)

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

9,765,756 4,882,878 2,441,439 7,324,318 3,662,159 10,986,478 5,493,239 16,479,718 8,239,859 24,719,578 12,359,789 37,079,368 18,539,684 9,269,842 4,634,921 13,904,764 6,952,382 3,476,191 10,428,574 5,214,287 15,642,862 7,821,431 23,464,294 11,732,147 35,196,442 17,598,221 52,794,664 26,397,332 13,198,666 6,599,333 19,798,000 9,899,000 4,949,500 2,474,750 1,237,375 3,712,126 1,856,063 5,568,190 2,784,095 8,352,286 4,176,143 12,528,430 6,264,215 18,792,646 9,396,323 28,188,970 14,094,485 42,283,456 21,141,728 10,570,864 5,285,432 2,642,716 1,321,358 660,679 1,982,038 991,019 2,973,058 1,486,529 4,459,588 2,229,794

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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