λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,328,564
26,328,564
22 × 36 × 9029
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^6 × 9029
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 69,088,530
Proper Divisor Sum 42,759,966
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26328553 ← → #26328581

Radix Representation

Decimal 26328564
Binary 1100100011011110111110100 (25 bits)
Octal 0o144336764
Hexadecimal 0x191BDF4

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 2,916 9,029 18,058 27,087 36,116 54,174 81,261 108,348 162,522 243,783 325,044 487,566 731,349 975,132 1,462,698 2,194,047 2,925,396 4,388,094 6,582,141 8,776,188 13,164,282 26,328,564

Collatz Trajectory (198 steps to reach 1)

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

26,328,564 13,164,282 6,582,141 19,746,424 9,873,212 4,936,606 2,468,303 7,404,910 3,702,455 11,107,366 5,553,683 16,661,050 8,330,525 24,991,576 12,495,788 6,247,894 3,123,947 9,371,842 4,685,921 14,057,764 7,028,882 3,514,441 10,543,324 5,271,662 2,635,831 7,907,494 3,953,747 11,861,242 5,930,621 17,791,864 8,895,932 4,447,966 2,223,983 6,671,950 3,335,975 10,007,926 5,003,963 15,011,890 7,505,945 22,517,836 11,258,918 5,629,459 16,888,378 8,444,189 25,332,568 12,666,284 6,333,142 3,166,571 9,499,714 4,749,857 14,249,572 7,124,786 3,562,393 10,687,180 5,343,590 2,671,795 8,015,386 4,007,693 12,023,080 6,011,540

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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