λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,513,470
17,513,470
2 × 5 × 132 × 43 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 43 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,074,512
Proper Divisor Sum 17,561,042
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17513453 ← → #17513471

Radix Representation

Decimal 17513470
Binary 1000010110011101111111110 (25 bits)
Octal 0o102635776
Hexadecimal 0x10B3BFE

Divisor Catalog (48)

1 2 5 10 13 26 43 65 86 130 169 215 241 338 430 482 559 845 1,118 1,205 1,690 2,410 2,795 3,133 5,590 6,266 7,267 10,363 14,534 15,665 20,726 31,330 36,335 40,729 51,815 72,670 81,458 103,630 134,719 203,645 269,438 407,290 673,595 1,347,190 1,751,347 3,502,694 8,756,735 17,513,470

Collatz Trajectory (319 steps to reach 1)

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

17,513,470 8,756,735 26,270,206 13,135,103 39,405,310 19,702,655 59,107,966 29,553,983 88,661,950 44,330,975 132,992,926 66,496,463 199,489,390 99,744,695 299,234,086 149,617,043 448,851,130 224,425,565 673,276,696 336,638,348 168,319,174 84,159,587 252,478,762 126,239,381 378,718,144 189,359,072 94,679,536 47,339,768 23,669,884 11,834,942 5,917,471 17,752,414 8,876,207 26,628,622 13,314,311 39,942,934 19,971,467 59,914,402 29,957,201 89,871,604 44,935,802 22,467,901 67,403,704 33,701,852 16,850,926 8,425,463 25,276,390 12,638,195 37,914,586 18,957,293 56,871,880 28,435,940 14,217,970 7,108,985 21,326,956 10,663,478 5,331,739 15,995,218 7,997,609 23,992,828

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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