λ
Sigma Notebook

131,827

241 × 547
Deficient Odd Composite

131,827 is odd and not a perfect square. Its factorization is 241 × 547 and its 4 divisors sum to 132,616.

Prime Factor Structure

Factorization String 241 × 547
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 132,616
Proper Divisor Sum 789
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #131797 ← → #131837

Radix Representation

Decimal 131827
Binary 100000001011110011 (18 bits)
Octal 0o401363
Hexadecimal 0x202F3

Divisor Catalog (4)

1 241 547 131,827

Collatz Trajectory (268 steps to reach 1)

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

131,827 395,482 197,741 593,224 296,612 148,306 74,153 222,460 111,230 55,615 166,846 83,423 250,270 125,135 375,406 187,703 563,110 281,555 844,666 422,333 1,267,000 633,500 316,750 158,375 475,126 237,563 712,690 356,345 1,069,036 534,518 267,259 801,778 400,889 1,202,668 601,334 300,667 902,002 451,001 1,353,004 676,502 338,251 1,014,754 507,377 1,522,132 761,066 380,533 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610

More profiles

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