λ
Sigma Notebook

243,195

3 × 5 × 31 × 523
Deficient Odd Composite

243,195 is odd and not a perfect square. Its factorization is 3 × 5 × 31 × 523 and its 16 divisors sum to 402,432.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 402,432
Proper Divisor Sum 159,237
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #243167 ← → #243197

Radix Representation

Decimal 243195
Binary 111011010111111011 (18 bits)
Octal 0o732773
Hexadecimal 0x3B5FB

Divisor Catalog (16)

1 3 5 15 31 93 155 465 523 1,569 2,615 7,845 16,213 48,639 81,065 243,195

Collatz Trajectory (93 steps to reach 1)

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

243,195 729,586 364,793 1,094,380 547,190 273,595 820,786 410,393 1,231,180 615,590 307,795 923,386 461,693 1,385,080 692,540 346,270 173,135 519,406 259,703 779,110 389,555 1,168,666 584,333 1,753,000 876,500 438,250 219,125 657,376 328,688 164,344 82,172 41,086 20,543 61,630 30,815 92,446 46,223 138,670 69,335 208,006 104,003 312,010 156,005 468,016 234,008 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256

More profiles

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