λ
Harmonic Matrix

3,646,521

32 × 97 × 4177
Deficient Odd Composite

3,646,521 has digital root 9. The neighboring primes are 3646507 and 3646523; its proper-divisor sum differs from the starting integer by -1,970,270.

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Prime Factor Structure

Factorization String 3^2 × 97 × 4177
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,322,772
Proper Divisor Sum 1,676,251
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3646507 ← → #3646523

Radix Representation

Decimal 3646521
Binary 1101111010010000111001 (22 bits)
Octal 0o15722071
Hexadecimal 0x37A439

Divisor Catalog (5 of 12)

1 3 9 97 291

Collatz Trajectory (203 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.

3,646,521 10,939,564 5,469,782 2,734,891 8,204,674

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