6,735,140

2² × 5 × 336757

6,735,140 factors as 2^2 × 5 × 336757. Its 12 positive divisors give a proper-divisor sum of 7,408,696, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 336757

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,143,836

Proper Divisor Sum 7,408,696

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6735107 ← → #6735151

Radix Representation

Decimal	6735140
Binary	11001101100010100100100 (23 bits)
Octal	0o31542444
Hexadecimal	0x66C524

Divisor Catalog (12)

1 2 4 5 10 20 336,757 673,514 1,347,028 1,683,785 3,367,570 6,735,140

Collatz Trajectory (209 steps to reach 1)

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

6,735,140 3,367,570 1,683,785 5,051,356 2,525,678 1,262,839 3,788,518 1,894,259 5,682,778 2,841,389 8,524,168 4,262,084 2,131,042 1,065,521 3,196,564 1,598,282 799,141 2,397,424 1,198,712 599,356 299,678 149,839 449,518 224,759 674,278 337,139 1,011,418 505,709 1,517,128 758,564 379,282 189,641 568,924 284,462 142,231 426,694 213,347 640,042 320,021 960,064 480,032 240,016 120,008 60,004 30,002 15,001 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494 4,747 14,242 7,121

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