343,145

5 × 11 × 17 × 367

343,145 factors as 5 × 11 × 17 × 367. Its 16 positive divisors give a proper-divisor sum of 133,783, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 476,928

Proper Divisor Sum 133,783

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #343141 ← → #343153

Radix Representation

Decimal	343145
Binary	1010011110001101001 (19 bits)
Octal	0o1236151
Hexadecimal	0x53C69

Divisor Catalog (16)

1 5 11 17 55 85 187 367 935 1,835 4,037 6,239 20,185 31,195 68,629 343,145

Collatz Trajectory (153 steps to reach 1)

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

343,145 1,029,436 514,718 257,359 772,078 386,039 1,158,118 579,059 1,737,178 868,589 2,605,768 1,302,884 651,442 325,721 977,164 488,582 244,291 732,874 366,437 1,099,312 549,656 274,828 137,414 68,707 206,122 103,061 309,184 154,592 77,296 38,648 19,324 9,662 4,831 14,494 7,247 21,742 10,871 32,614 16,307 48,922 24,461 73,384 36,692 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364

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