λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,514,783
17,514,783
32 × 11 × 13 × 31 × 439
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 31 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,750,720
Proper Divisor Sum 13,235,937
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17514781 ← → #17514787

Radix Representation

Decimal 17514783
Binary 1000010110100000100011111 (25 bits)
Octal 0o102640437
Hexadecimal 0x10B411F

Divisor Catalog (48)

1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 439 1,023 1,209 1,287 1,317 3,069 3,627 3,951 4,433 4,829 5,707 13,299 13,609 14,487 17,121 39,897 40,827 43,461 51,363 62,777 122,481 149,699 176,917 188,331 449,097 530,751 564,993 1,347,291 1,592,253 1,946,087 5,838,261 17,514,783

Collatz Trajectory (213 steps to reach 1)

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

17,514,783 52,544,350 26,272,175 78,816,526 39,408,263 118,224,790 59,112,395 177,337,186 88,668,593 266,005,780 133,002,890 66,501,445 199,504,336 99,752,168 49,876,084 24,938,042 12,469,021 37,407,064 18,703,532 9,351,766 4,675,883 14,027,650 7,013,825 21,041,476 10,520,738 5,260,369 15,781,108 7,890,554 3,945,277 11,835,832 5,917,916 2,958,958 1,479,479 4,438,438 2,219,219 6,657,658 3,328,829 9,986,488 4,993,244 2,496,622 1,248,311 3,744,934 1,872,467 5,617,402 2,808,701 8,426,104 4,213,052 2,106,526 1,053,263 3,159,790 1,579,895 4,739,686 2,369,843 7,109,530 3,554,765 10,664,296 5,332,148 2,666,074 1,333,037 3,999,112

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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