343,942

2 × 23 × 7477

Starting at 343,942, the Collatz iteration reaches 1 after 197 steps. The first transition is 171971; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 7477

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 538,416

Proper Divisor Sum 194,474

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #343939 ← → #343943

Radix Representation

Decimal	343942
Binary	1010011111110000110 (19 bits)
Octal	0o1237606
Hexadecimal	0x53F86

Divisor Catalog (8)

1 2 23 46 7,477 14,954 171,971 343,942

Collatz Trajectory (197 steps to reach 1)

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

343,942 171,971 515,914 257,957 773,872 386,936 193,468 96,734 48,367 145,102 72,551 217,654 108,827 326,482 163,241 489,724 244,862 122,431 367,294 183,647 550,942 275,471 826,414 413,207 1,239,622 619,811 1,859,434 929,717 2,789,152 1,394,576 697,288 348,644 174,322 87,161 261,484 130,742 65,371 196,114 98,057 294,172 147,086 73,543 220,630 110,315 330,946 165,473 496,420 248,210 124,105 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536

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