496,306

2 × 29 × 43 × 199

496,306 factors as 2 × 29 × 43 × 199. Its 16 positive divisors give a proper-divisor sum of 295,694, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 29 × 43 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 792,000

Proper Divisor Sum 295,694

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #496303 ← → #496313

Radix Representation

Decimal	496306
Binary	1111001001010110010 (19 bits)
Octal	0o1711262
Hexadecimal	0x792B2

Divisor Catalog (16)

1 2 29 43 58 86 199 398 1,247 2,494 5,771 8,557 11,542 17,114 248,153 496,306

Collatz Trajectory (182 steps to reach 1)

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

496,306 248,153 744,460 372,230 186,115 558,346 279,173 837,520 418,760 209,380 104,690 52,345 157,036 78,518 39,259 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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