2,000,271

3 × 7 × 13 × 17 × 431

2,000,271 factors as 3 × 7 × 13 × 17 × 431. Its 32 positive divisors give a proper-divisor sum of 1,483,377, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,483,648

Proper Divisor Sum 1,483,377

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2000269 ← → #2000281

Radix Representation

Decimal	2000271
Binary	111101000010110001111 (21 bits)
Octal	0o7502617
Hexadecimal	0x1E858F

Divisor Catalog (32)

Collatz Trajectory (122 steps to reach 1)

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

2,000,271 6,000,814 3,000,407 9,001,222 4,500,611 13,501,834 6,750,917 20,252,752 10,126,376 5,063,188 2,531,594 1,265,797 3,797,392 1,898,696 949,348 474,674 237,337 712,012 356,006 178,003 534,010 267,005 801,016 400,508 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126

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