λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,846,482
7,846,482
2 × 3 × 7 × 227 × 823
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 227 × 823
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,035,712
Proper Divisor Sum 10,189,230
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7846463 ← → #7846483

Radix Representation

Decimal 7846482
Binary 11101111011101001010010 (23 bits)
Octal 0o35735122
Hexadecimal 0x77BA52

Divisor Catalog (32)

1 2 3 6 7 14 21 42 227 454 681 823 1,362 1,589 1,646 2,469 3,178 4,767 4,938 5,761 9,534 11,522 17,283 34,566 186,821 373,642 560,463 1,120,926 1,307,747 2,615,494 3,923,241 7,846,482

Collatz Trajectory (199 steps to reach 1)

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

7,846,482 3,923,241 11,769,724 5,884,862 2,942,431 8,827,294 4,413,647 13,240,942 6,620,471 19,861,414 9,930,707 29,792,122 14,896,061 44,688,184 22,344,092 11,172,046 5,586,023 16,758,070 8,379,035 25,137,106 12,568,553 37,705,660 18,852,830 9,426,415 28,279,246 14,139,623 42,418,870 21,209,435 63,628,306 31,814,153 95,442,460 47,721,230 23,860,615 71,581,846 35,790,923 107,372,770 53,686,385 161,059,156 80,529,578 40,264,789 120,794,368 60,397,184 30,198,592 15,099,296 7,549,648 3,774,824 1,887,412 943,706 471,853 1,415,560 707,780 353,890 176,945 530,836 265,418 132,709 398,128 199,064 99,532 49,766

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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