2⁵ × 3⁴ × 7 × 13 × 37

Prime Factor Structure

Factorization String 2^5 × 3^4 × 7 × 13 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 32,443,488

Proper Divisor Sum 23,716,224

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8727263 ← → #8727269

Radix Representation

Decimal	8727264
Binary	100001010010101011100000 (24 bits)
Octal	0o41225340
Hexadecimal	0x852AE0

Divisor Catalog (60 of 240)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 37 39 42 48 52 54 56 63 72 74 78 81 84 91 96 104 108 111 112 117 126 144 148 156 162 168 182 189 208 216 222 224 234 252 259 273 288 296 312 324

Collatz Trajectory (88 steps to reach 1)

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

8,727,264 4,363,632 2,181,816 1,090,908 545,454 272,727 818,182 409,091 1,227,274 613,637 1,840,912 920,456 460,228 230,114 115,057 345,172 172,586 86,293 258,880 129,440 64,720 32,360 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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