λ
Harmonic Matrix

4,036,476

22 × 3 × 336373
Abundant Even Composite

4,036,476 has digital root 3. The neighboring primes are 4036457 and 4036489; its proper-divisor sum differs from the starting integer by 1,345,520.

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Prime Factor Structure

Factorization String 2^2 × 3 × 336373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,418,472
Proper Divisor Sum 5,381,996
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4036457 ← → #4036489

Radix Representation

Decimal 4036476
Binary 1111011001011101111100 (22 bits)
Octal 0o17313574
Hexadecimal 0x3D977C

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (136 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.

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