538,161

3 × 13 × 13799

538,161 factors as 3 × 13 × 13799. Its 8 positive divisors give a proper-divisor sum of 234,639, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3 × 13 × 13799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 772,800

Proper Divisor Sum 234,639

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #538159 ← → #538163

Radix Representation

Decimal	538161
Binary	10000011011000110001 (20 bits)
Octal	0o2033061
Hexadecimal	0x83631

Divisor Catalog (8)

1 3 13 39 13,799 41,397 179,387 538,161

Collatz Trajectory (120 steps to reach 1)

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

538,161 1,614,484 807,242 403,621 1,210,864 605,432 302,716 151,358 75,679 227,038 113,519 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266 161,633 484,900 242,450 121,225 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056 491,528 245,764 122,882

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