17,568,513

3² × 1171 × 1667

17,568,513 factors as 3^2 × 1171 × 1667. Its 12 positive divisors give a proper-divisor sum of 7,845,135, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3^2 × 1171 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 25,413,648

Proper Divisor Sum 7,845,135

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17568503 ← → #17568517

Radix Representation

Decimal	17568513
Binary	1000011000001001100000001 (25 bits)
Octal	0o103011401
Hexadecimal	0x10C1301

Divisor Catalog (12)

1 3 9 1,171 1,667 3,513 5,001 10,539 15,003 1,952,057 5,856,171 17,568,513

Collatz Trajectory (226 steps to reach 1)

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

17,568,513 52,705,540 26,352,770 13,176,385 39,529,156 19,764,578 9,882,289 29,646,868 14,823,434 7,411,717 22,235,152 11,117,576 5,558,788 2,779,394 1,389,697 4,169,092 2,084,546 1,042,273 3,126,820 1,563,410 781,705 2,345,116 1,172,558 586,279 1,758,838 879,419 2,638,258 1,319,129 3,957,388 1,978,694 989,347 2,968,042 1,484,021 4,452,064 2,226,032 1,113,016 556,508 278,254 139,127 417,382 208,691 626,074 313,037 939,112 469,556 234,778 117,389 352,168 176,084 88,042 44,021 132,064 66,032 33,016 16,508 8,254 4,127 12,382 6,191 18,574

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