493,389

3² × 13 × 4217

493,389 factors as 3^2 × 13 × 4217. Its 12 positive divisors give a proper-divisor sum of 274,287, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 4217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 767,676

Proper Divisor Sum 274,287

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #493369 ← → #493393

Radix Representation

Decimal	493389
Binary	1111000011101001101 (19 bits)
Octal	0o1703515
Hexadecimal	0x7874D

Divisor Catalog (12)

1 3 9 13 39 117 4,217 12,651 37,953 54,821 164,463 493,389

Collatz Trajectory (138 steps to reach 1)

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

493,389 1,480,168 740,084 370,042 185,021 555,064 277,532 138,766 69,383 208,150 104,075 312,226 156,113 468,340 234,170 117,085 351,256 175,628 87,814 43,907 131,722 65,861 197,584 98,792 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526

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