2,242,721

13 × 172517

Starting at 2,242,721, the Collatz iteration reaches 1 after 109 steps. The first transition is 6728164; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 172517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,415,252

Proper Divisor Sum 172,531

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2242697 ← → #2242727

Radix Representation

Decimal	2242721
Binary	1000100011100010100001 (22 bits)
Octal	0o10434241
Hexadecimal	0x2238A1

Divisor Catalog (4)

1 13 172,517 2,242,721

Collatz Trajectory (109 steps to reach 1)

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

2,242,721 6,728,164 3,364,082 1,682,041 5,046,124 2,523,062 1,261,531 3,784,594 1,892,297 5,676,892 2,838,446 1,419,223 4,257,670 2,128,835 6,386,506 3,193,253 9,579,760 4,789,880 2,394,940 1,197,470 598,735 1,796,206 898,103 2,694,310 1,347,155 4,041,466 2,020,733 6,062,200 3,031,100 1,515,550 757,775 2,273,326 1,136,663 3,409,990 1,704,995 5,114,986 2,557,493 7,672,480 3,836,240 1,918,120 959,060 479,530 239,765 719,296 359,648 179,824 89,912 44,956 22,478 11,239 33,718 16,859 50,578 25,289 75,868 37,934 18,967 56,902 28,451 85,354

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