λ
Harmonic Matrix

3,684,735

32 × 5 × 81883
Deficient Odd Composite

3,684,735 has digital root 9. The neighboring primes are 3684721 and 3684749; its proper-divisor sum differs from the starting integer by -982,518.

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Prime Factor Structure

Factorization String 3^2 × 5 × 81883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,386,952
Proper Divisor Sum 2,702,217
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3684721 ← → #3684749

Radix Representation

Decimal 3684735
Binary 1110000011100101111111 (22 bits)
Octal 0o16034577
Hexadecimal 0x38397F

Divisor Catalog (5 of 12)

1 3 5 9 15

Collatz Trajectory (172 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.

3,684,735 11,054,206 5,527,103 16,581,310 8,290,655

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