339,795

3⁴ × 5 × 839

Starting at 339,795, the Collatz iteration reaches 1 after 83 steps. The first transition is 1019386; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 839

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 609,840

Proper Divisor Sum 270,045

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #339769 ← → #339799

Radix Representation

Decimal	339795
Binary	1010010111101010011 (19 bits)
Octal	0o1227523
Hexadecimal	0x52F53

Divisor Catalog (20)

1 3 5 9 15 27 45 81 135 405 839 2,517 4,195 7,551 12,585 22,653 37,755 67,959 113,265 339,795

Collatz Trajectory (83 steps to reach 1)

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

339,795 1,019,386 509,693 1,529,080 764,540 382,270 191,135 573,406 286,703 860,110 430,055 1,290,166 645,083 1,935,250 967,625 2,902,876 1,451,438 725,719 2,177,158 1,088,579 3,265,738 1,632,869 4,898,608 2,449,304 1,224,652 612,326 306,163 918,490 459,245 1,377,736 688,868 344,434 172,217 516,652 258,326 129,163 387,490 193,745 581,236 290,618 145,309 435,928 217,964 108,982 54,491 163,474 81,737 245,212 122,606 61,303 183,910 91,955 275,866 137,933 413,800 206,900 103,450 51,725 155,176 77,588

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