λ
Sigma Notebook

543,681

32 × 193 × 313
Deficient Odd Composite

543,681 is odd and not a perfect square. Its factorization is 3^2 × 193 × 313 and its 12 divisors sum to 791,908.

Prime Factor Structure

Factorization String 3^2 × 193 × 313
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 791,908
Proper Divisor Sum 248,227
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #543679 ← → #543689

Radix Representation

Decimal 543681
Binary 10000100101111000001 (20 bits)
Octal 0o2045701
Hexadecimal 0x84BC1

Divisor Catalog (12)

1 3 9 193 313 579 939 1,737 2,817 60,409 181,227 543,681

Collatz Trajectory (208 steps to reach 1)

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

543,681 1,631,044 815,522 407,761 1,223,284 611,642 305,821 917,464 458,732 229,366 114,683 344,050 172,025 516,076 258,038 129,019 387,058 193,529 580,588 290,294 145,147 435,442 217,721 653,164 326,582 163,291 489,874 244,937 734,812 367,406 183,703 551,110 275,555 826,666 413,333 1,240,000 620,000 310,000 155,000 77,500 38,750 19,375 58,126 29,063 87,190 43,595 130,786 65,393 196,180 98,090 49,045 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449

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