1,998,979

17 × 59 × 1993

1,998,979 factors as 17 × 59 × 1993. Its 8 positive divisors give a proper-divisor sum of 154,541, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 17 × 59 × 1993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,153,520

Proper Divisor Sum 154,541

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #1998977 ← → #1998991

Radix Representation

Decimal	1998979
Binary	111101000000010000011 (21 bits)
Octal	0o7500203
Hexadecimal	0x1E8083

Divisor Catalog (8)

1 17 59 1,003 1,993 33,881 117,587 1,998,979

Collatz Trajectory (140 steps to reach 1)

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

1,998,979 5,996,938 2,998,469 8,995,408 4,497,704 2,248,852 1,124,426 562,213 1,686,640 843,320 421,660 210,830 105,415 316,246 158,123 474,370 237,185 711,556 355,778 177,889 533,668 266,834 133,417 400,252 200,126 100,063 300,190 150,095 450,286 225,143 675,430 337,715 1,013,146 506,573 1,519,720 759,860 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114

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