1,997,948

2² × 367 × 1361

1,997,948 factors as 2^2 × 367 × 1361. Its 12 positive divisors give a proper-divisor sum of 1,510,564, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 367 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,508,512

Proper Divisor Sum 1,510,564

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #1997939 ← → #1997969

Radix Representation

Decimal	1997948
Binary	111100111110001111100 (21 bits)
Octal	0o7476174
Hexadecimal	0x1E7C7C

Divisor Catalog (12)

1 2 4 367 734 1,361 1,468 2,722 5,444 499,487 998,974 1,997,948

Collatz Trajectory (153 steps to reach 1)

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

1,997,948 998,974 499,487 1,498,462 749,231 2,247,694 1,123,847 3,371,542 1,685,771 5,057,314 2,528,657 7,585,972 3,792,986 1,896,493 5,689,480 2,844,740 1,422,370 711,185 2,133,556 1,066,778 533,389 1,600,168 800,084 400,042 200,021 600,064 300,032 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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