2,008,262

2 × 19 × 41 × 1289

2,008,262 has the prime decomposition 2 × 19 × 41 × 1289. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 41 × 1289

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,250,800

Proper Divisor Sum 1,242,538

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2008247 ← → #2008271

Radix Representation

Decimal	2008262
Binary	111101010010011000110 (21 bits)
Octal	0o7522306
Hexadecimal	0x1EA4C6

Divisor Catalog (16)

1 2 19 38 41 82 779 1,289 1,558 2,578 24,491 48,982 52,849 105,698 1,004,131 2,008,262

Collatz Trajectory (153 steps to reach 1)

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

2,008,262 1,004,131 3,012,394 1,506,197 4,518,592 2,259,296 1,129,648 564,824 282,412 141,206 70,603 211,810 105,905 317,716 158,858 79,429 238,288 119,144 59,572 29,786 14,893 44,680 22,340 11,170 5,585 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

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