1,992,291

3 × 7² × 13553

1,992,291 factors as 3 × 7^2 × 13553. Its 12 positive divisors give a proper-divisor sum of 1,098,021, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 13553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,090,312

Proper Divisor Sum 1,098,021

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1992269 ← → #1992299

Radix Representation

Decimal	1992291
Binary	111100110011001100011 (21 bits)
Octal	0o7463143
Hexadecimal	0x1E6663

Divisor Catalog (12)

1 3 7 21 49 147 13,553 40,659 94,871 284,613 664,097 1,992,291

Collatz Trajectory (91 steps to reach 1)

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

1,992,291 5,976,874 2,988,437 8,965,312 4,482,656 2,241,328 1,120,664 560,332 280,166 140,083 420,250 210,125 630,376 315,188 157,594 78,797 236,392 118,196 59,098 29,549 88,648 44,324 22,162 11,081 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59

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