338,444

2² × 211 × 401

Starting at 338,444, the Collatz iteration reaches 1 after 109 steps. The first transition is 169222; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 211 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 596,568

Proper Divisor Sum 258,124

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #338431 ← → #338449

Radix Representation

Decimal	338444
Binary	1010010101000001100 (19 bits)
Octal	0o1225014
Hexadecimal	0x52A0C

Divisor Catalog (12)

1 2 4 211 401 422 802 844 1,604 84,611 169,222 338,444

Collatz Trajectory (109 steps to reach 1)

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

338,444 169,222 84,611 253,834 126,917 380,752 190,376 95,188 47,594 23,797 71,392 35,696 17,848 8,924 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359

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