538,191

3³ × 31 × 643

538,191 factors as 3^3 × 31 × 643. Its 16 positive divisors give a proper-divisor sum of 286,129, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3^3 × 31 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 824,320

Proper Divisor Sum 286,129

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #538163 ← → #538199

Radix Representation

Decimal	538191
Binary	10000011011001001111 (20 bits)
Octal	0o2033117
Hexadecimal	0x8364F

Divisor Catalog (16)

1 3 9 27 31 93 279 643 837 1,929 5,787 17,361 19,933 59,799 179,397 538,191

Collatz Trajectory (239 steps to reach 1)

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

538,191 1,614,574 807,287 2,421,862 1,210,931 3,632,794 1,816,397 5,449,192 2,724,596 1,362,298 681,149 2,043,448 1,021,724 510,862 255,431 766,294 383,147 1,149,442 574,721 1,724,164 862,082 431,041 1,293,124 646,562 323,281 969,844 484,922 242,461 727,384 363,692 181,846 90,923 272,770 136,385 409,156 204,578 102,289 306,868 153,434 76,717 230,152 115,076 57,538 28,769 86,308 43,154 21,577 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483

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