λ
Harmonic Matrix

6,936,289

172 × 24001
Deficient Odd Composite

6,936,289 has digital root 7. The neighboring primes are 6936283 and 6936299; its proper-divisor sum differs from the starting integer by -6,503,964.

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Prime Factor Structure

Factorization String 17^2 × 24001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,368,614
Proper Divisor Sum 432,325
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6936283 ← → #6936299

Radix Representation

Decimal 6936289
Binary 11010011101011011100001 (23 bits)
Octal 0o32353341
Hexadecimal 0x69D6E1

Divisor Catalog (5 of 6)

1 17 289 24,001 408,017

Collatz Trajectory (160 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.

6,936,289 20,808,868 10,404,434 5,202,217 15,606,652

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