3,208,698

2 × 3² × 178261

3,208,698 factors as 2 × 3^2 × 178261. Its 12 positive divisors give a proper-divisor sum of 3,743,520, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 178261

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,952,218

Proper Divisor Sum 3,743,520

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3208693 ← → #3208721

Radix Representation

Decimal	3208698
Binary	1100001111010111111010 (22 bits)
Octal	0o14172772
Hexadecimal	0x30F5FA

Divisor Catalog (12)

1 2 3 6 9 18 178,261 356,522 534,783 1,069,566 1,604,349 3,208,698

Collatz Trajectory (182 steps to reach 1)

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

3,208,698 1,604,349 4,813,048 2,406,524 1,203,262 601,631 1,804,894 902,447 2,707,342 1,353,671 4,061,014 2,030,507 6,091,522 3,045,761 9,137,284 4,568,642 2,284,321 6,852,964 3,426,482 1,713,241 5,139,724 2,569,862 1,284,931 3,854,794 1,927,397 5,782,192 2,891,096 1,445,548 722,774 361,387 1,084,162 542,081 1,626,244 813,122 406,561 1,219,684 609,842 304,921 914,764 457,382 228,691 686,074 343,037 1,029,112 514,556 257,278 128,639 385,918 192,959 578,878 289,439 868,318 434,159 1,302,478 651,239 1,953,718 976,859 2,930,578 1,465,289 4,395,868

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