209,882

2 × 17 × 6173

209,882 factors as 2 × 17 × 6173. Its 8 positive divisors give a proper-divisor sum of 123,514, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 17 × 6173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 333,396

Proper Divisor Sum 123,514

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #209861 ← → #209887

Radix Representation

Decimal	209882
Binary	110011001111011010 (18 bits)
Octal	0o631732
Hexadecimal	0x333DA

Divisor Catalog (8)

1 2 17 34 6,173 12,346 104,941 209,882

Collatz Trajectory (111 steps to reach 1)

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

209,882 104,941 314,824 157,412 78,706 39,353 118,060 59,030 29,515 88,546 44,273 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978

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