3,789,562

2 × 7² × 38669

3,789,562 has digital root 4. The neighboring primes are 3789529 and 3789571; its proper-divisor sum differs from the starting integer by -966,554.

Prime Factor Structure

Factorization String 2 × 7^2 × 38669

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,612,570

Proper Divisor Sum 2,823,008

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3789529 ← → #3789571

Radix Representation

Decimal	3789562
Binary	1110011101001011111010 (22 bits)
Octal	0o16351372
Hexadecimal	0x39D2FA

Divisor Catalog (12)

1 2 7 14 49 98 38,669 77,338 270,683 541,366 1,894,781 3,789,562

Collatz Trajectory (128 steps to reach 1)

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

3,789,562 1,894,781 5,684,344 2,842,172 1,421,086 710,543 2,131,630 1,065,815 3,197,446 1,598,723 4,796,170 2,398,085 7,194,256 3,597,128 1,798,564 899,282 449,641 1,348,924 674,462 337,231 1,011,694 505,847 1,517,542 758,771 2,276,314 1,138,157 3,414,472 1,707,236 853,618 426,809 1,280,428 640,214 320,107 960,322 480,161 1,440,484 720,242 360,121 1,080,364 540,182 270,091 810,274 405,137 1,215,412 607,706 303,853 911,560 455,780 227,890 113,945 341,836 170,918 85,459 256,378 128,189 384,568 192,284 96,142 48,071 144,214

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