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3,093,370

2 × 5 × 72 × 59 × 107
Abundant Even Composite

3,093,370 factors as 2 × 5 × 7^2 × 59 × 107. Its 48 positive divisors give a proper-divisor sum of 3,555,110, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 59 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,648,480
Proper Divisor Sum 3,555,110
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3093361 ← → #3093383

Radix Representation

Decimal 3093370
Binary 1011110011001101111010 (22 bits)
Octal 0o13631572
Hexadecimal 0x2F337A

Divisor Catalog (48)

1 2 5 7 10 14 35 49 59 70 98 107 118 214 245 295 413 490 535 590 749 826 1,070 1,498 2,065 2,891 3,745 4,130 5,243 5,782 6,313 7,490 10,486 12,626 14,455 26,215 28,910 31,565 44,191 52,430 63,130 88,382 220,955 309,337 441,910 618,674 1,546,685 3,093,370

Collatz Trajectory (151 steps to reach 1)

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

3,093,370 1,546,685 4,640,056 2,320,028 1,160,014 580,007 1,740,022 870,011 2,610,034 1,305,017 3,915,052 1,957,526 978,763 2,936,290 1,468,145 4,404,436 2,202,218 1,101,109 3,303,328 1,651,664 825,832 412,916 206,458 103,229 309,688 154,844 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995 146,986 73,493 220,480 110,240 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91

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