1,998,146

2 × 17² × 3457

1,998,146 factors as 2 × 17^2 × 3457. Its 12 positive divisors give a proper-divisor sum of 1,186,672, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 3457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,184,818

Proper Divisor Sum 1,186,672

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1998133 ← → #1998169

Radix Representation

Decimal	1998146
Binary	111100111110101000010 (21 bits)
Octal	0o7476502
Hexadecimal	0x1E7D42

Divisor Catalog (12)

1 2 17 34 289 578 3,457 6,914 58,769 117,538 999,073 1,998,146

Collatz Trajectory (140 steps to reach 1)

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

1,998,146 999,073 2,997,220 1,498,610 749,305 2,247,916 1,123,958 561,979 1,685,938 842,969 2,528,908 1,264,454 632,227 1,896,682 948,341 2,845,024 1,422,512 711,256 355,628 177,814 88,907 266,722 133,361 400,084 200,042 100,021 300,064 150,032 75,016 37,508 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113

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