3,396,348

2² × 3² × 94343

3,396,348 factors as 2^2 × 3^2 × 94343. Its 18 positive divisors give a proper-divisor sum of 5,188,956, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 94343

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,585,304

Proper Divisor Sum 5,188,956

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3396347 ← → #3396353

Radix Representation

Decimal	3396348
Binary	1100111101001011111100 (22 bits)
Octal	0o14751374
Hexadecimal	0x33D2FC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 94,343 188,686 283,029 377,372 566,058 849,087 1,132,116 1,698,174 3,396,348

Collatz Trajectory (128 steps to reach 1)

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

3,396,348 1,698,174 849,087 2,547,262 1,273,631 3,820,894 1,910,447 5,731,342 2,865,671 8,597,014 4,298,507 12,895,522 6,447,761 19,343,284 9,671,642 4,835,821 14,507,464 7,253,732 3,626,866 1,813,433 5,440,300 2,720,150 1,360,075 4,080,226 2,040,113 6,120,340 3,060,170 1,530,085 4,590,256 2,295,128 1,147,564 573,782 286,891 860,674 430,337 1,291,012 645,506 322,753 968,260 484,130 242,065 726,196 363,098 181,549 544,648 272,324 136,162 68,081 204,244 102,122 51,061 153,184 76,592 38,296 19,148 9,574 4,787 14,362 7,181 21,544

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