λ
Harmonic Matrix

8,040,243

3 × 47 × 127 × 449
Deficient Odd Composite

8,040,243 has digital root 3. The neighboring primes are 8040239 and 8040247; its proper-divisor sum differs from the starting integer by -5,021,286.

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Prime Factor Structure

Factorization String 3 × 47 × 127 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,059,200
Proper Divisor Sum 3,018,957
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8040239 ← → #8040247

Radix Representation

Decimal 8040243
Binary 11110101010111100110011 (23 bits)
Octal 0o36527463
Hexadecimal 0x7AAF33

Divisor Catalog (5 of 16)

Collatz Trajectory (67 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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