2⁶ × 3⁵ × 17 × 199

Prime Factor Structure

Factorization String 2^6 × 3^5 × 17 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 166,420,800

Proper Divisor Sum 113,808,384

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #52612397 ← → #52612421

Radix Representation

Decimal	52612416
Binary	11001000101100110101000000 (26 bits)
Octal	0o310546500
Hexadecimal	0x322CD40

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 199 204 216 243 272 288 306 324 398 408 432 459 486 544 576 597 612 648 796 816 864 918 972 1,088 1,194 1,224 1,296 1,377 1,592

Collatz Trajectory (62 steps to reach 1)

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

52,612,416 26,306,208 13,153,104 6,576,552 3,288,276 1,644,138 822,069 2,466,208 1,233,104 616,552 308,276 154,138 77,069 231,208 115,604 57,802 28,901 86,704 43,352 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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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