λ
Harmonic Matrix

3,680,296

23 × 17 × 27061
Deficient Even Composite

3,680,296 has digital root 7. The neighboring primes are 3680291 and 3680321; its proper-divisor sum differs from the starting integer by -53,852.

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Prime Factor Structure

Factorization String 2^3 × 17 × 27061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,306,740
Proper Divisor Sum 3,626,444
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3680291 ← → #3680321

Radix Representation

Decimal 3680296
Binary 1110000010100000101000 (22 bits)
Octal 0o16024050
Hexadecimal 0x382828

Divisor Catalog (5 of 16)

1 2 4 8 17

Collatz Trajectory (40 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.

3,680,296 1,840,148 920,074 460,037 1,380,112

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