234,729

3² × 11 × 2371

234,729 is odd and not a perfect square. Its factorization is 3^2 × 11 × 2371 and its 12 divisors sum to 370,032.

Prime Factor Structure

Factorization String 3^2 × 11 × 2371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 370,032

Proper Divisor Sum 135,303

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #234727 ← → #234733

Radix Representation

Decimal	234729
Binary	111001010011101001 (18 bits)
Octal	0o712351
Hexadecimal	0x394E9

Divisor Catalog (12)

1 3 9 11 33 99 2,371 7,113 21,339 26,081 78,243 234,729

Collatz Trajectory (80 steps to reach 1)

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

234,729 704,188 352,094 176,047 528,142 264,071 792,214 396,107 1,188,322 594,161 1,782,484 891,242 445,621 1,336,864 668,432 334,216 167,108 83,554 41,777 125,332 62,666 31,333 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492

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