3,676,666

2 × 7² × 37517

3,676,666 factors as 2 × 7^2 × 37517. Its 12 positive divisors give a proper-divisor sum of 2,738,912, so this integer is deficient. The Collatz stopping time is 309 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 37517

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,415,578

Proper Divisor Sum 2,738,912

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3676643 ← → #3676667

Radix Representation

Decimal	3676666
Binary	1110000001100111111010 (22 bits)
Octal	0o16014772
Hexadecimal	0x3819FA

Divisor Catalog (12)

1 2 7 14 49 98 37,517 75,034 262,619 525,238 1,838,333 3,676,666

Collatz Trajectory (309 steps to reach 1)

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

3,676,666 1,838,333 5,515,000 2,757,500 1,378,750 689,375 2,068,126 1,034,063 3,102,190 1,551,095 4,653,286 2,326,643 6,979,930 3,489,965 10,469,896 5,234,948 2,617,474 1,308,737 3,926,212 1,963,106 981,553 2,944,660 1,472,330 736,165 2,208,496 1,104,248 552,124 276,062 138,031 414,094 207,047 621,142 310,571 931,714 465,857 1,397,572 698,786 349,393 1,048,180 524,090 262,045 786,136 393,068 196,534 98,267 294,802 147,401 442,204 221,102 110,551 331,654 165,827 497,482 248,741 746,224 373,112 186,556 93,278 46,639 139,918

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