3,328,678

2 × 29² × 1979

3,328,678 factors as 2 × 29^2 × 1979. Its 12 positive divisors give a proper-divisor sum of 1,845,062, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 29^2 × 1979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,173,740

Proper Divisor Sum 1,845,062

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3328621 ← → #3328679

Radix Representation

Decimal	3328678
Binary	1100101100101010100110 (22 bits)
Octal	0o14545246
Hexadecimal	0x32CAA6

Divisor Catalog (12)

1 2 29 58 841 1,682 1,979 3,958 57,391 114,782 1,664,339 3,328,678

Collatz Trajectory (208 steps to reach 1)

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

3,328,678 1,664,339 4,993,018 2,496,509 7,489,528 3,744,764 1,872,382 936,191 2,808,574 1,404,287 4,212,862 2,106,431 6,319,294 3,159,647 9,478,942 4,739,471 14,218,414 7,109,207 21,327,622 10,663,811 31,991,434 15,995,717 47,987,152 23,993,576 11,996,788 5,998,394 2,999,197 8,997,592 4,498,796 2,249,398 1,124,699 3,374,098 1,687,049 5,061,148 2,530,574 1,265,287 3,795,862 1,897,931 5,693,794 2,846,897 8,540,692 4,270,346 2,135,173 6,405,520 3,202,760 1,601,380 800,690 400,345 1,201,036 600,518 300,259 900,778 450,389 1,351,168 675,584 337,792 168,896 84,448 42,224 21,112

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