492,867

3² × 23 × 2381

492,867 factors as 3^2 × 23 × 2381. Its 12 positive divisors give a proper-divisor sum of 250,317, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 2381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 743,184

Proper Divisor Sum 250,317

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #492853 ← → #492871

Radix Representation

Decimal	492867
Binary	1111000010101000011 (19 bits)
Octal	0o1702503
Hexadecimal	0x78543

Divisor Catalog (12)

1 3 9 23 69 207 2,381 7,143 21,429 54,763 164,289 492,867

Collatz Trajectory (182 steps to reach 1)

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

492,867 1,478,602 739,301 2,217,904 1,108,952 554,476 277,238 138,619 415,858 207,929 623,788 311,894 155,947 467,842 233,921 701,764 350,882 175,441 526,324 263,162 131,581 394,744 197,372 98,686 49,343 148,030 74,015 222,046 111,023 333,070 166,535 499,606 249,803 749,410 374,705 1,124,116 562,058 281,029 843,088 421,544 210,772 105,386 52,693 158,080 79,040 39,520 19,760 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130

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