6,843,576

2³ × 3 × 47 × 6067

6,843,576 factors as 2^3 × 3 × 47 × 6067. Its 32 positive divisors give a proper-divisor sum of 10,632,264, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 6067

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,475,840

Proper Divisor Sum 10,632,264

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6843569 ← → #6843589

Radix Representation

Decimal	6843576
Binary	11010000110110010111000 (23 bits)
Octal	0o32066270
Hexadecimal	0x686CB8

Divisor Catalog (32)

Collatz Trajectory (209 steps to reach 1)

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

6,843,576 3,421,788 1,710,894 855,447 2,566,342 1,283,171 3,849,514 1,924,757 5,774,272 2,887,136 1,443,568 721,784 360,892 180,446 90,223 270,670 135,335 406,006 203,003 609,010 304,505 913,516 456,758 228,379 685,138 342,569 1,027,708 513,854 256,927 770,782 385,391 1,156,174 578,087 1,734,262 867,131 2,601,394 1,300,697 3,902,092 1,951,046 975,523 2,926,570 1,463,285 4,389,856 2,194,928 1,097,464 548,732 274,366 137,183 411,550 205,775 617,326 308,663 925,990 462,995 1,388,986 694,493 2,083,480 1,041,740 520,870 260,435

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