3,967,966

2 × 727 × 2729

3,967,966 factors as 2 × 727 × 2729. Its 8 positive divisors give a proper-divisor sum of 1,994,354, so this integer is deficient. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2 × 727 × 2729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,962,320

Proper Divisor Sum 1,994,354

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #3967963 ← → #3967973

Radix Representation

Decimal	3967966
Binary	1111001000101111011110 (22 bits)
Octal	0o17105736
Hexadecimal	0x3C8BDE

Divisor Catalog (8)

1 2 727 1,454 2,729 5,458 1,983,983 3,967,966

Collatz Trajectory (322 steps to reach 1)

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

3,967,966 1,983,983 5,951,950 2,975,975 8,927,926 4,463,963 13,391,890 6,695,945 20,087,836 10,043,918 5,021,959 15,065,878 7,532,939 22,598,818 11,299,409 33,898,228 16,949,114 8,474,557 25,423,672 12,711,836 6,355,918 3,177,959 9,533,878 4,766,939 14,300,818 7,150,409 21,451,228 10,725,614 5,362,807 16,088,422 8,044,211 24,132,634 12,066,317 36,198,952 18,099,476 9,049,738 4,524,869 13,574,608 6,787,304 3,393,652 1,696,826 848,413 2,545,240 1,272,620 636,310 318,155 954,466 477,233 1,431,700 715,850 357,925 1,073,776 536,888 268,444 134,222 67,111 201,334 100,667 302,002 151,001

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