241,744

2⁴ × 29 × 521

241,744 has the prime decomposition 2^4 × 29 × 521. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 521

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 485,460

Proper Divisor Sum 243,716

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #241739 ← → #241771

Radix Representation

Decimal	241744
Binary	111011000001010000 (18 bits)
Octal	0o730120
Hexadecimal	0x3B050

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 521 1,042 2,084 4,168 8,336 15,109 30,218 60,436 120,872 241,744

Collatz Trajectory (137 steps to reach 1)

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

241,744 120,872 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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