6,277,674

2 × 3 × 13² × 41 × 151

Starting at 6,277,674, the Collatz iteration reaches 1 after 165 steps. The first transition is 3138837; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 41 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,019,264

Proper Divisor Sum 7,741,590

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6277669 ← → #6277703

Radix Representation

Decimal	6277674
Binary	10111111100101000101010 (23 bits)
Octal	0o27745052
Hexadecimal	0x5FCA2A

Divisor Catalog (48)

1 2 3 6 13 26 39 41 78 82 123 151 169 246 302 338 453 507 533 906 1,014 1,066 1,599 1,963 3,198 3,926 5,889 6,191 6,929 11,778 12,382 13,858 18,573 20,787 25,519 37,146 41,574 51,038 76,557 80,483 153,114 160,966 241,449 482,898 1,046,279 2,092,558 3,138,837 6,277,674

Collatz Trajectory (165 steps to reach 1)

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

6,277,674 3,138,837 9,416,512 4,708,256 2,354,128 1,177,064 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526 82,763 248,290 124,145 372,436 186,218 93,109 279,328 139,664 69,832 34,916 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188

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