λ
Harmonic Matrix

8,259,601

7 × 239 × 4937
Deficient Odd Composite

8,259,601 has digital root 4. The neighboring primes are 8259571 and 8259607; its proper-divisor sum differs from the starting integer by -7,038,242.

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Prime Factor Structure

Factorization String 7 × 239 × 4937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,480,960
Proper Divisor Sum 1,221,359
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8259571 ← → #8259607

Radix Representation

Decimal 8259601
Binary 11111100000100000010001 (23 bits)
Octal 0o37404021
Hexadecimal 0x7E0811

Divisor Catalog (5 of 8)

Collatz Trajectory (199 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.

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