297,234

2 × 3² × 7² × 337

297,234 factors as 2 × 3^2 × 7^2 × 337. Its 36 positive divisors give a proper-divisor sum of 454,140, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 751,374

Proper Divisor Sum 454,140

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #297233 ← → #297247

Radix Representation

Decimal	297234
Binary	1001000100100010010 (19 bits)
Octal	0o1104422
Hexadecimal	0x48912

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 337 441 674 882 1,011 2,022 2,359 3,033 4,718 6,066 7,077 14,154 16,513 21,231 33,026 42,462 49,539 99,078 148,617 297,234

Collatz Trajectory (145 steps to reach 1)

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

297,234 148,617 445,852 222,926 111,463 334,390 167,195 501,586 250,793 752,380 376,190 188,095 564,286 282,143 846,430 423,215 1,269,646 634,823 1,904,470 952,235 2,856,706 1,428,353 4,285,060 2,142,530 1,071,265 3,213,796 1,606,898 803,449 2,410,348 1,205,174 602,587 1,807,762 903,881 2,711,644 1,355,822 677,911 2,033,734 1,016,867 3,050,602 1,525,301 4,575,904 2,287,952 1,143,976 571,988 285,994 142,997 428,992 214,496 107,248 53,624 26,812 13,406 6,703 20,110 10,055 30,166 15,083 45,250 22,625 67,876

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