λ
Harmonic Matrix

8,337,374

2 × 547 × 7621
Deficient Even Composite

8,337,374 has digital root 8. The neighboring primes are 8337347 and 8337379; its proper-divisor sum differs from the starting integer by -4,144,180.

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Prime Factor Structure

Factorization String 2 × 547 × 7621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,530,568
Proper Divisor Sum 4,193,194
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8337347 ← → #8337379

Radix Representation

Decimal 8337374
Binary 11111110011011111011110 (23 bits)
Octal 0o37633736
Hexadecimal 0x7F37DE

Divisor Catalog (5 of 8)

1 2 547 1,094 7,621

Collatz Trajectory (111 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.

8,337,374 4,168,687 12,506,062 6,253,031 18,759,094

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