λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,460,412
26,460,412
22 × 11 × 29 × 89 × 233
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 89 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,071,200
Proper Divisor Sum 26,610,788
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26460367 ← → #26460431

Radix Representation

Decimal 26460412
Binary 1100100111100000011111100 (25 bits)
Octal 0o144740374
Hexadecimal 0x193C0FC

Divisor Catalog (48)

1 2 4 11 22 29 44 58 89 116 178 233 319 356 466 638 932 979 1,276 1,958 2,563 2,581 3,916 5,126 5,162 6,757 10,252 10,324 13,514 20,737 27,028 28,391 41,474 56,782 74,327 82,948 113,564 148,654 228,107 297,308 456,214 601,373 912,428 1,202,746 2,405,492 6,615,103 13,230,206 26,460,412

Collatz Trajectory (242 steps to reach 1)

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

26,460,412 13,230,206 6,615,103 19,845,310 9,922,655 29,767,966 14,883,983 44,651,950 22,325,975 66,977,926 33,488,963 100,466,890 50,233,445 150,700,336 75,350,168 37,675,084 18,837,542 9,418,771 28,256,314 14,128,157 42,384,472 21,192,236 10,596,118 5,298,059 15,894,178 7,947,089 23,841,268 11,920,634 5,960,317 17,880,952 8,940,476 4,470,238 2,235,119 6,705,358 3,352,679 10,058,038 5,029,019 15,087,058 7,543,529 22,630,588 11,315,294 5,657,647 16,972,942 8,486,471 25,459,414 12,729,707 38,189,122 19,094,561 57,283,684 28,641,842 14,320,921 42,962,764 21,481,382 10,740,691 32,222,074 16,111,037 48,333,112 24,166,556 12,083,278 6,041,639

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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