2,006,376

2³ × 3 × 41 × 2039

2,006,376 has the prime decomposition 2^3 × 3 × 41 × 2039. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 2039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,140,800

Proper Divisor Sum 3,134,424

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2006369 ← → #2006377

Radix Representation

Decimal	2006376
Binary	111101001110101101000 (21 bits)
Octal	0o7516550
Hexadecimal	0x1E9D68

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2,039 4,078 6,117 8,156 12,234 16,312 24,468 48,936 83,599 167,198 250,797 334,396 501,594 668,792 1,003,188 2,006,376

Collatz Trajectory (140 steps to reach 1)

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

2,006,376 1,003,188 501,594 250,797 752,392 376,196 188,098 94,049 282,148 141,074 70,537 211,612 105,806 52,903 158,710 79,355 238,066 119,033 357,100 178,550 89,275 267,826 133,913 401,740 200,870 100,435 301,306 150,653 451,960 225,980 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020 286,010 143,005 429,016 214,508 107,254 53,627 160,882 80,441 241,324 120,662 60,331 180,994 90,497 271,492 135,746 67,873 203,620 101,810 50,905 152,716 76,358

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