3,966,567

3 × 11 × 120199

3,966,567 factors as 3 × 11 × 120199. Its 8 positive divisors give a proper-divisor sum of 1,803,033, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 11 × 120199

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,769,600

Proper Divisor Sum 1,803,033

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3966563 ← → #3966581

Radix Representation

Decimal	3966567
Binary	1111001000011001100111 (22 bits)
Octal	0o17103147
Hexadecimal	0x3C8667

Divisor Catalog (8)

1 3 11 33 120,199 360,597 1,322,189 3,966,567

Collatz Trajectory (167 steps to reach 1)

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

3,966,567 11,899,702 5,949,851 17,849,554 8,924,777 26,774,332 13,387,166 6,693,583 20,080,750 10,040,375 30,121,126 15,060,563 45,181,690 22,590,845 67,772,536 33,886,268 16,943,134 8,471,567 25,414,702 12,707,351 38,122,054 19,061,027 57,183,082 28,591,541 85,774,624 42,887,312 21,443,656 10,721,828 5,360,914 2,680,457 8,041,372 4,020,686 2,010,343 6,031,030 3,015,515 9,046,546 4,523,273 13,569,820 6,784,910 3,392,455 10,177,366 5,088,683 15,266,050 7,633,025 22,899,076 11,449,538 5,724,769 17,174,308 8,587,154 4,293,577 12,880,732 6,440,366 3,220,183 9,660,550 4,830,275 14,490,826 7,245,413 21,736,240 10,868,120 5,434,060

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