342,189

3² × 193 × 197

342,189 has the prime decomposition 3^2 × 193 × 197. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 193 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 499,356

Proper Divisor Sum 157,167

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #342187 ← → #342191

Radix Representation

Decimal	342189
Binary	1010011100010101101 (19 bits)
Octal	0o1234255
Hexadecimal	0x538AD

Divisor Catalog (12)

1 3 9 193 197 579 591 1,737 1,773 38,021 114,063 342,189

Collatz Trajectory (166 steps to reach 1)

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

342,189 1,026,568 513,284 256,642 128,321 384,964 192,482 96,241 288,724 144,362 72,181 216,544 108,272 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031

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