345,882

2 × 3 × 17 × 3391

345,882 factors as 2 × 3 × 17 × 3391. Its 16 positive divisors give a proper-divisor sum of 386,790, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 3391

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 732,672

Proper Divisor Sum 386,790

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #345881 ← → #345887

Radix Representation

Decimal	345882
Binary	1010100011100011010 (19 bits)
Octal	0o1243432
Hexadecimal	0x5471A

Divisor Catalog (16)

1 2 3 6 17 34 51 102 3,391 6,782 10,173 20,346 57,647 115,294 172,941 345,882

Collatz Trajectory (122 steps to reach 1)

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

345,882 172,941 518,824 259,412 129,706 64,853 194,560 97,280 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 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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