λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,320,092
26,320,092
22 × 3 × 19 × 241 × 479
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 241 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,049,600
Proper Divisor Sum 38,729,508
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #26320087 ← → #26320093

Radix Representation

Decimal 26320092
Binary 1100100011001110011011100 (25 bits)
Octal 0o144316334
Hexadecimal 0x1919CDC

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 114 228 241 479 482 723 958 964 1,437 1,446 1,916 2,874 2,892 4,579 5,748 9,101 9,158 13,737 18,202 18,316 27,303 27,474 36,404 54,606 54,948 109,212 115,439 230,878 346,317 461,756 692,634 1,385,268 2,193,341 4,386,682 6,580,023 8,773,364 13,160,046 26,320,092

Collatz Trajectory (317 steps to reach 1)

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

26,320,092 13,160,046 6,580,023 19,740,070 9,870,035 29,610,106 14,805,053 44,415,160 22,207,580 11,103,790 5,551,895 16,655,686 8,327,843 24,983,530 12,491,765 37,475,296 18,737,648 9,368,824 4,684,412 2,342,206 1,171,103 3,513,310 1,756,655 5,269,966 2,634,983 7,904,950 3,952,475 11,857,426 5,928,713 17,786,140 8,893,070 4,446,535 13,339,606 6,669,803 20,009,410 10,004,705 30,014,116 15,007,058 7,503,529 22,510,588 11,255,294 5,627,647 16,882,942 8,441,471 25,324,414 12,662,207 37,986,622 18,993,311 56,979,934 28,489,967 85,469,902 42,734,951 128,204,854 64,102,427 192,307,282 96,153,641 288,460,924 144,230,462 72,115,231 216,345,694

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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