3,125,844

2² × 3³ × 103 × 281

3,125,844 factors as 2^2 × 3^3 × 103 × 281. Its 48 positive divisors give a proper-divisor sum of 5,085,996, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 103 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,211,840

Proper Divisor Sum 5,085,996

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3125839 ← → #3125867

Radix Representation

Decimal	3125844
Binary	1011111011001001010100 (22 bits)
Octal	0o13731124
Hexadecimal	0x2FB254

Divisor Catalog (48)

Collatz Trajectory (107 steps to reach 1)

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

3,125,844 1,562,922 781,461 2,344,384 1,172,192 586,096 293,048 146,524 73,262 36,631 109,894 54,947 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162 26,081 78,244 39,122 19,561 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988

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