λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,092,015
28,092,015
37 × 5 × 7 × 367
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^7 × 5 × 7 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 57,937,920
Proper Divisor Sum 29,845,905
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28091977 ← → #28092023

Radix Representation

Decimal 28092015
Binary 1101011001010011001101111 (25 bits)
Octal 0o153123157
Hexadecimal 0x1ACA66F

Divisor Catalog (60 of 64)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 367 405 567 729 945 1,101 1,215 1,701 1,835 2,187 2,569 2,835 3,303 3,645 5,103 5,505 7,707 8,505 9,909 10,935 12,845 15,309 16,515 23,121 25,515 29,727 38,535 49,545 69,363 76,545 89,181 115,605 148,635 208,089 267,543 346,815 445,905 624,267 802,629 1,040,445 1,337,715 1,872,801 3,121,335

Collatz Trajectory (131 steps to reach 1)

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

28,092,015 84,276,046 42,138,023 126,414,070 63,207,035 189,621,106 94,810,553 284,431,660 142,215,830 71,107,915 213,323,746 106,661,873 319,985,620 159,992,810 79,996,405 239,989,216 119,994,608 59,997,304 29,998,652 14,999,326 7,499,663 22,498,990 11,249,495 33,748,486 16,874,243 50,622,730 25,311,365 75,934,096 37,967,048 18,983,524 9,491,762 4,745,881 14,237,644 7,118,822 3,559,411 10,678,234 5,339,117 16,017,352 8,008,676 4,004,338 2,002,169 6,006,508 3,003,254 1,501,627 4,504,882 2,252,441 6,757,324 3,378,662 1,689,331 5,067,994 2,533,997 7,601,992 3,800,996 1,900,498 950,249 2,850,748 1,425,374 712,687 2,138,062 1,069,031

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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