λ
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Atlas › Integer Profiles › Node 17,518,185

17,518,185

32 × 5 × 71 × 5483
Deficient Odd Composite

17,518,185 factors as 3^2 × 5 × 71 × 5483. Its 24 positive divisors give a proper-divisor sum of 13,279,959, so this integer is deficient. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 71 × 5483
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,798,144
Proper Divisor Sum 13,279,959
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17518183 ← → #17518201

Radix Representation

Decimal 17518185
Binary 1000010110100111001101001 (25 bits)
Octal 0o102647151
Hexadecimal 0x10B4E69

Divisor Catalog (24)

1 3 5 9 15 45 71 213 355 639 1,065 3,195 5,483 16,449 27,415 49,347 82,245 246,735 389,293 1,167,879 1,946,465 3,503,637 5,839,395 17,518,185

Collatz Trajectory (319 steps to reach 1)

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

17,518,185 52,554,556 26,277,278 13,138,639 39,415,918 19,707,959 59,123,878 29,561,939 88,685,818 44,342,909 133,028,728 66,514,364 33,257,182 16,628,591 49,885,774 24,942,887 74,828,662 37,414,331 112,242,994 56,121,497 168,364,492 84,182,246 42,091,123 126,273,370 63,136,685 189,410,056 94,705,028 47,352,514 23,676,257 71,028,772 35,514,386 17,757,193 53,271,580 26,635,790 13,317,895 39,953,686 19,976,843 59,930,530 29,965,265 89,895,796 44,947,898 22,473,949 67,421,848 33,710,924 16,855,462 8,427,731 25,283,194 12,641,597 37,924,792 18,962,396 9,481,198 4,740,599 14,221,798 7,110,899 21,332,698 10,666,349 31,999,048 15,999,524 7,999,762 3,999,881

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