λ
Harmonic Matrix

9,736,803

32 × 41 × 26387
Deficient Odd Composite

9,736,803 has digital root 9. The neighboring primes are 9736787 and 9736807; its proper-divisor sum differs from the starting integer by -5,065,758.

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Prime Factor Structure

Factorization String 3^2 × 41 × 26387
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,407,848
Proper Divisor Sum 4,671,045
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9736787 ← → #9736807

Radix Representation

Decimal 9736803
Binary 100101001001001001100011 (24 bits)
Octal 0o45111143
Hexadecimal 0x949263

Divisor Catalog (5 of 12)

1 3 9 41 123

Collatz Trajectory (88 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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