343,405

5 × 173 × 397

Starting at 343,405, the Collatz iteration reaches 1 after 197 steps. The first transition is 1030216; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 173 × 397

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 415,512

Proper Divisor Sum 72,107

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #343393 ← → #343411

Radix Representation

Decimal	343405
Binary	1010011110101101101 (19 bits)
Octal	0o1236555
Hexadecimal	0x53D6D

Divisor Catalog (8)

1 5 173 397 865 1,985 68,681 343,405

Collatz Trajectory (197 steps to reach 1)

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

343,405 1,030,216 515,108 257,554 128,777 386,332 193,166 96,583 289,750 144,875 434,626 217,313 651,940 325,970 162,985 488,956 244,478 122,239 366,718 183,359 550,078 275,039 825,118 412,559 1,237,678 618,839 1,856,518 928,259 2,784,778 1,392,389 4,177,168 2,088,584 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069

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