344,666

2 × 7² × 3517

Starting at 344,666, the Collatz iteration reaches 1 after 122 steps. The first transition is 172333; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 3517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 601,578

Proper Divisor Sum 256,912

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #344653 ← → #344671

Radix Representation

Decimal	344666
Binary	1010100001001011010 (19 bits)
Octal	0o1241132
Hexadecimal	0x5425A

Divisor Catalog (12)

1 2 7 14 49 98 3,517 7,034 24,619 49,238 172,333 344,666

Collatz Trajectory (122 steps to reach 1)

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

344,666 172,333 517,000 258,500 129,250 64,625 193,876 96,938 48,469 145,408 72,704 36,352 18,176 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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