2,752,722

2 × 3² × 7² × 3121

Starting at 2,752,722, the Collatz iteration reaches 1 after 107 steps. The first transition is 1376361; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 3121

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,940,206

Proper Divisor Sum 4,187,484

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2752721 ← → #2752723

Radix Representation

Decimal	2752722
Binary	1010100000000011010010 (22 bits)
Octal	0o12400322
Hexadecimal	0x2A00D2

Divisor Catalog (36)

Collatz Trajectory (107 steps to reach 1)

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

2,752,722 1,376,361 4,129,084 2,064,542 1,032,271 3,096,814 1,548,407 4,645,222 2,322,611 6,967,834 3,483,917 10,451,752 5,225,876 2,612,938 1,306,469 3,919,408 1,959,704 979,852 489,926 244,963 734,890 367,445 1,102,336 551,168 275,584 137,792 68,896 34,448 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494

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