λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,092,920
8,092,920
23 × 3 × 5 × 11 × 6131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 6131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,490,240
Proper Divisor Sum 18,397,320
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8092919 ← → #8092921

Radix Representation

Decimal 8092920
Binary 11110110111110011111000 (23 bits)
Octal 0o36676370
Hexadecimal 0x7B7CF8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 6,131 12,262 18,393 24,524 30,655 36,786 49,048 61,310 67,441 73,572 91,965 122,620 134,882 147,144 183,930 202,323 245,240 269,764 337,205 367,860 404,646 539,528 674,410 735,720 809,292 1,011,615 1,348,820 1,618,584

Collatz Trajectory (155 steps to reach 1)

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

8,092,920 4,046,460 2,023,230 1,011,615 3,034,846 1,517,423 4,552,270 2,276,135 6,828,406 3,414,203 10,242,610 5,121,305 15,363,916 7,681,958 3,840,979 11,522,938 5,761,469 17,284,408 8,642,204 4,321,102 2,160,551 6,481,654 3,240,827 9,722,482 4,861,241 14,583,724 7,291,862 3,645,931 10,937,794 5,468,897 16,406,692 8,203,346 4,101,673 12,305,020 6,152,510 3,076,255 9,228,766 4,614,383 13,843,150 6,921,575 20,764,726 10,382,363 31,147,090 15,573,545 46,720,636 23,360,318 11,680,159 35,040,478 17,520,239 52,560,718 26,280,359 78,841,078 39,420,539 118,261,618 59,130,809 177,392,428 88,696,214 44,348,107 133,044,322 66,522,161

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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