1,998,415

5 × 31 × 12893

1,998,415 factors as 5 × 31 × 12893. Its 8 positive divisors give a proper-divisor sum of 477,233, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 5 × 31 × 12893

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,475,648

Proper Divisor Sum 477,233

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1998413 ← → #1998427

Radix Representation

Decimal	1998415
Binary	111100111111001001111 (21 bits)
Octal	0o7477117
Hexadecimal	0x1E7E4F

Divisor Catalog (8)

1 5 31 155 12,893 64,465 399,683 1,998,415

Collatz Trajectory (184 steps to reach 1)

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

1,998,415 5,995,246 2,997,623 8,992,870 4,496,435 13,489,306 6,744,653 20,233,960 10,116,980 5,058,490 2,529,245 7,587,736 3,793,868 1,896,934 948,467 2,845,402 1,422,701 4,268,104 2,134,052 1,067,026 533,513 1,600,540 800,270 400,135 1,200,406 600,203 1,800,610 900,305 2,700,916 1,350,458 675,229 2,025,688 1,012,844 506,422 253,211 759,634 379,817 1,139,452 569,726 284,863 854,590 427,295 1,281,886 640,943 1,922,830 961,415 2,884,246 1,442,123 4,326,370 2,163,185 6,489,556 3,244,778 1,622,389 4,867,168 2,433,584 1,216,792 608,396 304,198 152,099 456,298

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