3,348,980

2² × 5 × 167449

3,348,980 factors as 2^2 × 5 × 167449. Its 12 positive divisors give a proper-divisor sum of 3,683,920, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 167449

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,032,900

Proper Divisor Sum 3,683,920

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3348977 ← → #3348991

Radix Representation

Decimal	3348980
Binary	1100110001100111110100 (22 bits)
Octal	0o14614764
Hexadecimal	0x3319F4

Divisor Catalog (12)

1 2 4 5 10 20 167,449 334,898 669,796 837,245 1,674,490 3,348,980

Collatz Trajectory (115 steps to reach 1)

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

3,348,980 1,674,490 837,245 2,511,736 1,255,868 627,934 313,967 941,902 470,951 1,412,854 706,427 2,119,282 1,059,641 3,178,924 1,589,462 794,731 2,384,194 1,192,097 3,576,292 1,788,146 894,073 2,682,220 1,341,110 670,555 2,011,666 1,005,833 3,017,500 1,508,750 754,375 2,263,126 1,131,563 3,394,690 1,697,345 5,092,036 2,546,018 1,273,009 3,819,028 1,909,514 954,757 2,864,272 1,432,136 716,068 358,034 179,017 537,052 268,526 134,263 402,790 201,395 604,186 302,093 906,280 453,140 226,570 113,285 339,856 169,928 84,964 42,482 21,241

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