6,925,540

2² × 5 × 346277

Starting at 6,925,540, the Collatz iteration reaches 1 after 129 steps. The first transition is 3462770; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 346277

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,543,676

Proper Divisor Sum 7,618,136

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6925531 ← → #6925547

Radix Representation

Decimal	6925540
Binary	11010011010110011100100 (23 bits)
Octal	0o32326344
Hexadecimal	0x69ACE4

Divisor Catalog (12)

1 2 4 5 10 20 346,277 692,554 1,385,108 1,731,385 3,462,770 6,925,540

Collatz Trajectory (129 steps to reach 1)

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

6,925,540 3,462,770 1,731,385 5,194,156 2,597,078 1,298,539 3,895,618 1,947,809 5,843,428 2,921,714 1,460,857 4,382,572 2,191,286 1,095,643 3,286,930 1,643,465 4,930,396 2,465,198 1,232,599 3,697,798 1,848,899 5,546,698 2,773,349 8,320,048 4,160,024 2,080,012 1,040,006 520,003 1,560,010 780,005 2,340,016 1,170,008 585,004 292,502 146,251 438,754 219,377 658,132 329,066 164,533 493,600 246,800 123,400 61,700 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324

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