349,983

3² × 37 × 1051

349,983 factors as 3^2 × 37 × 1051. Its 12 positive divisors give a proper-divisor sum of 169,705, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 1051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 519,688

Proper Divisor Sum 169,705

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #349981 ← → #350003

Radix Representation

Decimal	349983
Binary	1010101011100011111 (19 bits)
Octal	0o1253437
Hexadecimal	0x5571F

Divisor Catalog (12)

1 3 9 37 111 333 1,051 3,153 9,459 38,887 116,661 349,983

Collatz Trajectory (104 steps to reach 1)

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

349,983 1,049,950 524,975 1,574,926 787,463 2,362,390 1,181,195 3,543,586 1,771,793 5,315,380 2,657,690 1,328,845 3,986,536 1,993,268 996,634 498,317 1,494,952 747,476 373,738 186,869 560,608 280,304 140,152 70,076 35,038 17,519 52,558 26,279 78,838 39,419 118,258 59,129 177,388 88,694 44,347 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371

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