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Atlas › Integer Profiles › Node 3,349,032

3,349,032

23 × 3 × 47 × 2969
Abundant Even Composite

3,349,032 factors as 2^3 × 3 × 47 × 2969. Its 32 positive divisors give a proper-divisor sum of 5,204,568, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 2969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,553,600
Proper Divisor Sum 5,204,568
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3349013 ← → #3349033

Radix Representation

Decimal 3349032
Binary 1100110001101000101000 (22 bits)
Octal 0o14615050
Hexadecimal 0x331A28

Divisor Catalog (32)

1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1,128 2,969 5,938 8,907 11,876 17,814 23,752 35,628 71,256 139,543 279,086 418,629 558,172 837,258 1,116,344 1,674,516 3,349,032

Collatz Trajectory (133 steps to reach 1)

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

3,349,032 1,674,516 837,258 418,629 1,255,888 627,944 313,972 156,986 78,493 235,480 117,740 58,870 29,435 88,306 44,153 132,460 66,230 33,115 99,346 49,673 149,020 74,510 37,255 111,766 55,883 167,650 83,825 251,476 125,738 62,869 188,608 94,304 47,152 23,576 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593

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