λ
Harmonic Matrix

9,738,278

2 × 11 × 31 × 109 × 131
Deficient Even Composite

9,738,278 has digital root 8. The neighboring primes are 9738277 and 9738293; its proper-divisor sum differs from the starting integer by -2,749,516.

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Prime Factor Structure

Factorization String 2 × 11 × 31 × 109 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,727,040
Proper Divisor Sum 6,988,762
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9738277 ← → #9738293

Radix Representation

Decimal 9738278
Binary 100101001001100000100110 (24 bits)
Octal 0o45114046
Hexadecimal 0x949826

Divisor Catalog (5 of 32)

1 2 11 22 31

Collatz Trajectory (207 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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