2⁶ × 3² × 13 × 23 × 47

Prime Factor Structure

Factorization String 2^6 × 3^2 × 13 × 23 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 26,627,328

Proper Divisor Sum 18,532,800

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8094523 ← → #8094539

Radix Representation

Decimal	8094528
Binary	11110111000001101000000 (23 bits)
Octal	0o36701500
Hexadecimal	0x7B8340

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 47 48 52 64 69 72 78 92 94 96 104 117 138 141 144 156 184 188 192 207 208 234 276 282 288 299 312 368 376 414 416 423 468 552 564 576 598 611 624 736 752 828

Collatz Trajectory (199 steps to reach 1)

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

8,094,528 4,047,264 2,023,632 1,011,816 505,908 252,954 126,477 379,432 189,716 94,858 47,429 142,288 71,144 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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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