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Atlas › Integer Profiles › Node 3,396,906

3,396,906

2 × 32 × 172 × 653
Abundant Even Composite

3,396,906 factors as 2 × 3^2 × 17^2 × 653. Its 36 positive divisors give a proper-divisor sum of 4,433,436, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17^2 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,830,342
Proper Divisor Sum 4,433,436
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3396829 ← → #3396917

Radix Representation

Decimal 3396906
Binary 1100111101010100101010 (22 bits)
Octal 0o14752452
Hexadecimal 0x33D52A

Divisor Catalog (36)

1 2 3 6 9 17 18 34 51 102 153 289 306 578 653 867 1,306 1,734 1,959 2,601 3,918 5,202 5,877 11,101 11,754 22,202 33,303 66,606 99,909 188,717 199,818 377,434 566,151 1,132,302 1,698,453 3,396,906

Collatz Trajectory (208 steps to reach 1)

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

3,396,906 1,698,453 5,095,360 2,547,680 1,273,840 636,920 318,460 159,230 79,615 238,846 119,423 358,270 179,135 537,406 268,703 806,110 403,055 1,209,166 604,583 1,813,750 906,875 2,720,626 1,360,313 4,080,940 2,040,470 1,020,235 3,060,706 1,530,353 4,591,060 2,295,530 1,147,765 3,443,296 1,721,648 860,824 430,412 215,206 107,603 322,810 161,405 484,216 242,108 121,054 60,527 181,582 90,791 272,374 136,187 408,562 204,281 612,844 306,422 153,211 459,634 229,817 689,452 344,726 172,363 517,090 258,545 775,636

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