λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,942,242
17,942,242
2 × 17 × 29 × 31 × 587
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17 × 29 × 31 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,481,920
Proper Divisor Sum 12,539,678
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17942237 ← → #17942257

Radix Representation

Decimal 17942242
Binary 1000100011100011011100010 (25 bits)
Octal 0o104343342
Hexadecimal 0x111C6E2

Divisor Catalog (32)

1 2 17 29 31 34 58 62 493 527 587 899 986 1,054 1,174 1,798 9,979 15,283 17,023 18,197 19,958 30,566 34,046 36,394 289,391 309,349 527,713 578,782 618,698 1,055,426 8,971,121 17,942,242

Collatz Trajectory (319 steps to reach 1)

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

17,942,242 8,971,121 26,913,364 13,456,682 6,728,341 20,185,024 10,092,512 5,046,256 2,523,128 1,261,564 630,782 315,391 946,174 473,087 1,419,262 709,631 2,128,894 1,064,447 3,193,342 1,596,671 4,790,014 2,395,007 7,185,022 3,592,511 10,777,534 5,388,767 16,166,302 8,083,151 24,249,454 12,124,727 36,374,182 18,187,091 54,561,274 27,280,637 81,841,912 40,920,956 20,460,478 10,230,239 30,690,718 15,345,359 46,036,078 23,018,039 69,054,118 34,527,059 103,581,178 51,790,589 155,371,768 77,685,884 38,842,942 19,421,471 58,264,414 29,132,207 87,396,622 43,698,311 131,094,934 65,547,467 196,642,402 98,321,201 294,963,604 147,481,802

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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