λ
Harmonic Matrix

1,997,448

23 × 3 × 83227
Abundant Even Composite

1,997,448 has digital root 6. The neighboring primes are 1997441 and 1997459; its proper-divisor sum differs from the starting integer by 998,784.

Prime Factor Structure

Factorization String 2^3 × 3 × 83227
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,993,680
Proper Divisor Sum 2,996,232
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1997441 ← → #1997459

Radix Representation

Decimal 1997448
Binary 111100111101010001000 (21 bits)
Octal 0o7475210
Hexadecimal 0x1E7A88

Divisor Catalog (16)

Collatz Trajectory (184 steps to reach 1)

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

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