λ
Harmonic Matrix

3,603,686

2 × 23 × 78341
Deficient Even Composite

3,603,686 has digital root 5. The neighboring primes are 3603667 and 3603703; its proper-divisor sum differs from the starting integer by -1,566,748.

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Prime Factor Structure

Factorization String 2 × 23 × 78341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,640,624
Proper Divisor Sum 2,036,938
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3603667 ← → #3603703

Radix Representation

Decimal 3603686
Binary 1101101111110011100110 (22 bits)
Octal 0o15576346
Hexadecimal 0x36FCE6

Divisor Catalog (5 of 8)

1 2 23 46 78,341

Collatz Trajectory (234 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.

3,603,686 1,801,843 5,405,530 2,702,765 8,108,296

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