344,198

2 × 113 × 1523

Starting at 344,198, the Collatz iteration reaches 1 after 197 steps. The first transition is 172099; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 113 × 1523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 521,208

Proper Divisor Sum 177,010

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #344189 ← → #344207

Radix Representation

Decimal	344198
Binary	1010100000010000110 (19 bits)
Octal	0o1240206
Hexadecimal	0x54086

Divisor Catalog (8)

1 2 113 226 1,523 3,046 172,099 344,198

Collatz Trajectory (197 steps to reach 1)

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

344,198 172,099 516,298 258,149 774,448 387,224 193,612 96,806 48,403 145,210 72,605 217,816 108,908 54,454 27,227 81,682 40,841 122,524 61,262 30,631 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153 174,460 87,230 43,615 130,846 65,423 196,270 98,135 294,406 147,203 441,610 220,805 662,416 331,208 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100

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