332,506

2 × 31² × 173

332,506 has the prime decomposition 2 × 31^2 × 173. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 31^2 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 518,346

Proper Divisor Sum 185,840

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #332489 ← → #332509

Radix Representation

Decimal	332506
Binary	1010001001011011010 (19 bits)
Octal	0o1211332
Hexadecimal	0x512DA

Divisor Catalog (12)

1 2 31 62 173 346 961 1,922 5,363 10,726 166,253 332,506

Collatz Trajectory (78 steps to reach 1)

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

332,506 166,253 498,760 249,380 124,690 62,345 187,036 93,518 46,759 140,278 70,139 210,418 105,209 315,628 157,814 78,907 236,722 118,361 355,084 177,542 88,771 266,314 133,157 399,472 199,736 99,868 49,934 24,967 74,902 37,451 112,354 56,177 168,532 84,266 42,133 126,400 63,200 31,600 15,800 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352

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