1,999,166

2 × 13 × 17 × 4523

1,999,166 factors as 2 × 13 × 17 × 4523. Its 16 positive divisors give a proper-divisor sum of 1,420,978, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 4523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,420,144

Proper Divisor Sum 1,420,978

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #1999163 ← → #1999177

Radix Representation

Decimal	1999166
Binary	111101000000100111110 (21 bits)
Octal	0o7500476
Hexadecimal	0x1E813E

Divisor Catalog (16)

1 2 13 17 26 34 221 442 4,523 9,046 58,799 76,891 117,598 153,782 999,583 1,999,166

Collatz Trajectory (114 steps to reach 1)

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

1,999,166 999,583 2,998,750 1,499,375 4,498,126 2,249,063 6,747,190 3,373,595 10,120,786 5,060,393 15,181,180 7,590,590 3,795,295 11,385,886 5,692,943 17,078,830 8,539,415 25,618,246 12,809,123 38,427,370 19,213,685 57,641,056 28,820,528 14,410,264 7,205,132 3,602,566 1,801,283 5,403,850 2,701,925 8,105,776 4,052,888 2,026,444 1,013,222 506,611 1,519,834 759,917 2,279,752 1,139,876 569,938 284,969 854,908 427,454 213,727 641,182 320,591 961,774 480,887 1,442,662 721,331 2,163,994 1,081,997 3,245,992 1,622,996 811,498 405,749 1,217,248 608,624 304,312 152,156 76,078

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