λ
Harmonic Matrix

8,003,295

32 × 5 × 293 × 607
Deficient Odd Composite

8,003,295 has digital root 9. The neighboring primes are 8003273 and 8003297; its proper-divisor sum differs from the starting integer by -2,063,934.

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Prime Factor Structure

Factorization String 3^2 × 5 × 293 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,942,656
Proper Divisor Sum 5,939,361
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8003273 ← → #8003297

Radix Representation

Decimal 8003295
Binary 11110100001111011011111 (23 bits)
Octal 0o36417337
Hexadecimal 0x7A1EDF

Divisor Catalog (5 of 24)

1 3 5 9 15

Collatz Trajectory (142 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.

8,003,295 24,009,886 12,004,943 36,014,830 18,007,415

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