λ
Harmonic Matrix

1,996,536

23 × 3 × 41 × 2029
Abundant Even Composite

1,996,536 has digital root 3. The neighboring primes are 1996529 and 1996543; its proper-divisor sum differs from the starting integer by 1,122,528.

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Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 2029
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,115,600
Proper Divisor Sum 3,119,064
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1996529 ← → #1996543

Radix Representation

Decimal 1996536
Binary 111100111011011111000 (21 bits)
Octal 0o7473370
Hexadecimal 0x1E76F8

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (228 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

1,996,536 998,268 499,134 249,567 748,702

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