2,836,734

2 × 3 × 71 × 6659

2,836,734 factors as 2 × 3 × 71 × 6659. Its 16 positive divisors give a proper-divisor sum of 2,917,506, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2 × 3 × 71 × 6659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,754,240

Proper Divisor Sum 2,917,506

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2836733 ← → #2836741

Radix Representation

Decimal	2836734
Binary	1010110100100011111110 (22 bits)
Octal	0o12644376
Hexadecimal	0x2B48FE

Divisor Catalog (16)

1 2 3 6 71 142 213 426 6,659 13,318 19,977 39,954 472,789 945,578 1,418,367 2,836,734

Collatz Trajectory (244 steps to reach 1)

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

2,836,734 1,418,367 4,255,102 2,127,551 6,382,654 3,191,327 9,573,982 4,786,991 14,360,974 7,180,487 21,541,462 10,770,731 32,312,194 16,156,097 48,468,292 24,234,146 12,117,073 36,351,220 18,175,610 9,087,805 27,263,416 13,631,708 6,815,854 3,407,927 10,223,782 5,111,891 15,335,674 7,667,837 23,003,512 11,501,756 5,750,878 2,875,439 8,626,318 4,313,159 12,939,478 6,469,739 19,409,218 9,704,609 29,113,828 14,556,914 7,278,457 21,835,372 10,917,686 5,458,843 16,376,530 8,188,265 24,564,796 12,282,398 6,141,199 18,423,598 9,211,799 27,635,398 13,817,699 41,453,098 20,726,549 62,179,648 31,089,824 15,544,912 7,772,456 3,886,228

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