6,518,565

3² × 5 × 17 × 8521

6,518,565 factors as 3^2 × 5 × 17 × 8521. Its 24 positive divisors give a proper-divisor sum of 5,446,323, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 8521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,964,888

Proper Divisor Sum 5,446,323

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6518557 ← → #6518579

Radix Representation

Decimal	6518565
Binary	11000110111011100100101 (23 bits)
Octal	0o30673445
Hexadecimal	0x637725

Divisor Catalog (24)

1 3 5 9 15 17 45 51 85 153 255 765 8,521 25,563 42,605 76,689 127,815 144,857 383,445 434,571 724,285 1,303,713 2,172,855 6,518,565

Collatz Trajectory (116 steps to reach 1)

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

6,518,565 19,555,696 9,777,848 4,888,924 2,444,462 1,222,231 3,666,694 1,833,347 5,500,042 2,750,021 8,250,064 4,125,032 2,062,516 1,031,258 515,629 1,546,888 773,444 386,722 193,361 580,084 290,042 145,021 435,064 217,532 108,766 54,383 163,150 81,575 244,726 122,363 367,090 183,545 550,636 275,318 137,659 412,978 206,489 619,468 309,734 154,867 464,602 232,301 696,904 348,452 174,226 87,113 261,340 130,670 65,335 196,006 98,003 294,010 147,005 441,016 220,508 110,254 55,127 165,382 82,691 248,074

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