208,989

3² × 11 × 2111

208,989 factors as 3^2 × 11 × 2111. Its 12 positive divisors give a proper-divisor sum of 120,483, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 2111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 329,472

Proper Divisor Sum 120,483

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #208963 ← → #208991

Radix Representation

Decimal	208989
Binary	110011000001011101 (18 bits)
Octal	0o630135
Hexadecimal	0x3305D

Divisor Catalog (12)

1 3 9 11 33 99 2,111 6,333 18,999 23,221 69,663 208,989

Collatz Trajectory (173 steps to reach 1)

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

208,989 626,968 313,484 156,742 78,371 235,114 117,557 352,672 176,336 88,168 44,084 22,042 11,021 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 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 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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