λ
Harmonic Matrix

2,726,697

3 × 101 × 8999
Deficient Odd Composite

2,726,697 has digital root 3. The neighboring primes are 2726687 and 2726701; its proper-divisor sum differs from the starting integer by -1,781,394.

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Prime Factor Structure

Factorization String 3 × 101 × 8999
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,672,000
Proper Divisor Sum 945,303
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2726687 ← → #2726701

Radix Representation

Decimal 2726697
Binary 1010011001101100101001 (22 bits)
Octal 0o12315451
Hexadecimal 0x299B29

Divisor Catalog (5 of 8)

1 3 101 303 8,999

Collatz Trajectory (368 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.

2,726,697 8,180,092 4,090,046 2,045,023 6,135,070

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