3,966,321

3 × 17 × 83 × 937

3,966,321 factors as 3 × 17 × 83 × 937. Its 16 positive divisors give a proper-divisor sum of 1,706,703, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 17 × 83 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,673,024

Proper Divisor Sum 1,706,703

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3966293 ← → #3966323

Radix Representation

Decimal	3966321
Binary	1111001000010101110001 (22 bits)
Octal	0o17102561
Hexadecimal	0x3C8571

Divisor Catalog (16)

1 3 17 51 83 249 937 1,411 2,811 4,233 15,929 47,787 77,771 233,313 1,322,107 3,966,321

Collatz Trajectory (185 steps to reach 1)

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

3,966,321 11,898,964 5,949,482 2,974,741 8,924,224 4,462,112 2,231,056 1,115,528 557,764 278,882 139,441 418,324 209,162 104,581 313,744 156,872 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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