λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,513,920
17,513,920
26 × 5 × 229 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 229 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 42,062,400
Proper Divisor Sum 24,548,480
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17513863 ← → #17513921

Radix Representation

Decimal 17513920
Binary 1000010110011110111000000 (25 bits)
Octal 0o102636700
Hexadecimal 0x10B3DC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 160 229 239 320 458 478 916 956 1,145 1,195 1,832 1,912 2,290 2,390 3,664 3,824 4,580 4,780 7,328 7,648 9,160 9,560 14,656 15,296 18,320 19,120 36,640 38,240 54,731 73,280 76,480 109,462 218,924 273,655 437,848 547,310 875,696 1,094,620 1,751,392 2,189,240 3,502,784 4,378,480 8,756,960 17,513,920

Collatz Trajectory (89 steps to reach 1)

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

17,513,920 8,756,960 4,378,480 2,189,240 1,094,620 547,310 273,655 820,966 410,483 1,231,450 615,725 1,847,176 923,588 461,794 230,897 692,692 346,346 173,173 519,520 259,760 129,880 64,940 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398 13,699 41,098 20,549 61,648 30,824 15,412 7,706 3,853 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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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