13,585,517

11³ × 59 × 173

13,585,517 factors as 11^3 × 59 × 173. Its 16 positive divisors give a proper-divisor sum of 1,698,643, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 11^3 × 59 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,284,160

Proper Divisor Sum 1,698,643

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13585511 ← → #13585541

Radix Representation

Decimal	13585517
Binary	110011110100110001101101 (24 bits)
Octal	0o63646155
Hexadecimal	0xCF4C6D

Divisor Catalog (16)

1 11 59 121 173 649 1,331 1,903 7,139 10,207 20,933 78,529 112,277 230,263 1,235,047 13,585,517

Collatz Trajectory (254 steps to reach 1)

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

13,585,517 40,756,552 20,378,276 10,189,138 5,094,569 15,283,708 7,641,854 3,820,927 11,462,782 5,731,391 17,194,174 8,597,087 25,791,262 12,895,631 38,686,894 19,343,447 58,030,342 29,015,171 87,045,514 43,522,757 130,568,272 65,284,136 32,642,068 16,321,034 8,160,517 24,481,552 12,240,776 6,120,388 3,060,194 1,530,097 4,590,292 2,295,146 1,147,573 3,442,720 1,721,360 860,680 430,340 215,170 107,585 322,756 161,378 80,689 242,068 121,034 60,517 181,552 90,776 45,388 22,694 11,347 34,042 17,021 51,064 25,532 12,766 6,383 19,150 9,575 28,726 14,363

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