λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,517,444
17,517,444
22 × 3 × 7 × 23 × 9067
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 9067
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 48,749,568
Proper Divisor Sum 31,232,124
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17517443 ← → #17517457

Radix Representation

Decimal 17517444
Binary 1000010110100101110000100 (25 bits)
Octal 0o102645604
Hexadecimal 0x10B4B84

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1,932 9,067 18,134 27,201 36,268 54,402 63,469 108,804 126,938 190,407 208,541 253,876 380,814 417,082 625,623 761,628 834,164 1,251,246 1,459,787 2,502,492 2,919,574 4,379,361 5,839,148 8,758,722 17,517,444

Collatz Trajectory (319 steps to reach 1)

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

17,517,444 8,758,722 4,379,361 13,138,084 6,569,042 3,284,521 9,853,564 4,926,782 2,463,391 7,390,174 3,695,087 11,085,262 5,542,631 16,627,894 8,313,947 24,941,842 12,470,921 37,412,764 18,706,382 9,353,191 28,059,574 14,029,787 42,089,362 21,044,681 63,134,044 31,567,022 15,783,511 47,350,534 23,675,267 71,025,802 35,512,901 106,538,704 53,269,352 26,634,676 13,317,338 6,658,669 19,976,008 9,988,004 4,994,002 2,497,001 7,491,004 3,745,502 1,872,751 5,618,254 2,809,127 8,427,382 4,213,691 12,641,074 6,320,537 18,961,612 9,480,806 4,740,403 14,221,210 7,110,605 21,331,816 10,665,908 5,332,954 2,666,477 7,999,432 3,999,716

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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