λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,115,726
5,115,726
2 × 32 × 7 × 11 × 3691
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 3691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,822,848
Proper Divisor Sum 8,707,122
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5115709 ← → #5115727

Radix Representation

Decimal 5115726
Binary 10011100000111101001110 (23 bits)
Octal 0o23407516
Hexadecimal 0x4E0F4E

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1,386 3,691 7,382 11,073 22,146 25,837 33,219 40,601 51,674 66,438 77,511 81,202 121,803 155,022 232,533 243,606 284,207 365,409 465,066 568,414 730,818 852,621 1,705,242 2,557,863 5,115,726

Collatz Trajectory (281 steps to reach 1)

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

5,115,726 2,557,863 7,673,590 3,836,795 11,510,386 5,755,193 17,265,580 8,632,790 4,316,395 12,949,186 6,474,593 19,423,780 9,711,890 4,855,945 14,567,836 7,283,918 3,641,959 10,925,878 5,462,939 16,388,818 8,194,409 24,583,228 12,291,614 6,145,807 18,437,422 9,218,711 27,656,134 13,828,067 41,484,202 20,742,101 62,226,304 31,113,152 15,556,576 7,778,288 3,889,144 1,944,572 972,286 486,143 1,458,430 729,215 2,187,646 1,093,823 3,281,470 1,640,735 4,922,206 2,461,103 7,383,310 3,691,655 11,074,966 5,537,483 16,612,450 8,306,225 24,918,676 12,459,338 6,229,669 18,689,008 9,344,504 4,672,252 2,336,126 1,168,063

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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