λ
Harmonic Matrix

3,677,508

22 × 33 × 17 × 2003
Abundant Even Composite

3,677,508 has digital root 9. The neighboring primes are 3677477 and 3677533; its proper-divisor sum differs from the starting integer by 2,745,144.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,100,160
Proper Divisor Sum 6,422,652
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3677477 ← → #3677533

Radix Representation

Decimal 3677508
Binary 1110000001110101000100 (22 bits)
Octal 0o16016504
Hexadecimal 0x381D44

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (84 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.

3,677,508 1,838,754 919,377 2,758,132 1,379,066

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