229,734

2 × 3² × 12763

229,734 factors as 2 × 3^2 × 12763. Its 12 positive divisors give a proper-divisor sum of 268,062, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 12763

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 497,796

Proper Divisor Sum 268,062

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #229727 ← → #229739

Radix Representation

Decimal	229734
Binary	111000000101100110 (18 bits)
Octal	0o700546
Hexadecimal	0x38166

Divisor Catalog (12)

1 2 3 6 9 18 12,763 25,526 38,289 76,578 114,867 229,734

Collatz Trajectory (199 steps to reach 1)

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

229,734 114,867 344,602 172,301 516,904 258,452 129,226 64,613 193,840 96,920 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487

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