13,387,166

2 × 13² × 39607

13,387,166 factors as 2 × 13^2 × 39607. Its 12 positive divisors give a proper-divisor sum of 8,357,626, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 39607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,744,792

Proper Divisor Sum 8,357,626

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #13387141 ← → #13387169

Radix Representation

Decimal	13387166
Binary	110011000100010110011110 (24 bits)
Octal	0o63042636
Hexadecimal	0xCC459E

Divisor Catalog (12)

1 2 13 26 169 338 39,607 79,214 514,891 1,029,782 6,693,583 13,387,166

Collatz Trajectory (161 steps to reach 1)

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

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 2,717,030 1,358,515 4,075,546 2,037,773 6,113,320 3,056,660

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