λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,806,464
2,806,464
26 × 3 × 47 × 311
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 47 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,607,808
Proper Divisor Sum 4,801,344
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2806459 ← → #2806469

Radix Representation

Decimal 2806464
Binary 1010101101001011000000 (22 bits)
Octal 0o12551300
Hexadecimal 0x2AD2C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 311 376 564 622 752 933 1,128 1,244 1,504 1,866 2,256 2,488 3,008 3,732 4,512 4,976 7,464 9,024 9,952 14,617 14,928 19,904 29,234 29,856 43,851 58,468 59,712 87,702 116,936 175,404 233,872 350,808 467,744 701,616 935,488 1,403,232 2,806,464

Collatz Trajectory (50 steps to reach 1)

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

2,806,464 1,403,232 701,616 350,808 175,404 87,702 43,851 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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