λ
Ratio Atlas
Atlas › Integer Profiles › Node 872,298
872,298
2 × 32 × 72 × 23 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 23 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 2,347,488
Proper Divisor Sum 1,475,190
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #872281 ← → #872317

Radix Representation

Decimal 872298
Binary 11010100111101101010 (20 bits)
Octal 0o3247552
Hexadecimal 0xD4F6A

Divisor Catalog (60 of 72)

1 2 3 6 7 9 14 18 21 23 42 43 46 49 63 69 86 98 126 129 138 147 161 207 258 294 301 322 387 414 441 483 602 774 882 903 966 989 1,127 1,449 1,806 1,978 2,107 2,254 2,709 2,898 2,967 3,381 4,214 5,418 5,934 6,321 6,762 6,923 8,901 10,143 12,642 13,846 17,802 18,963

Collatz Trajectory (69 steps to reach 1)

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

872,298 436,149 1,308,448 654,224 327,112 163,556 81,778 40,889 122,668 61,334 30,667 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160

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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