λ
Prime Ledger

1,992,108

22 × 3 × 41 × 4049
Abundant Even Composite

1,992,108 has the prime decomposition 2^2 × 3 × 41 × 4049. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 4049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,762,800
Proper Divisor Sum 2,770,692
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1992101 ← → #1992119

Radix Representation

Decimal 1992108
Binary 111100110010110101100 (21 bits)
Octal 0o7462654
Hexadecimal 0x1E65AC

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 4,049 8,098 12,147 16,196 24,294 48,588 166,009 332,018 498,027 664,036 996,054 1,992,108

Collatz Trajectory (91 steps to reach 1)

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

1,992,108 996,054 498,027 1,494,082 747,041 2,241,124 1,120,562 560,281 1,680,844 840,422 420,211 1,260,634 630,317 1,890,952 945,476 472,738 236,369 709,108 354,554 177,277 531,832 265,916 132,958 66,479 199,438 99,719 299,158 149,579 448,738 224,369 673,108 336,554 168,277 504,832 252,416 126,208 63,104 31,552 15,776 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59

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