λ
Harmonic Matrix

9,872,475

3 × 52 × 139 × 947
Deficient Odd Composite

9,872,475 has digital root 6. The neighboring primes are 9872449 and 9872501; its proper-divisor sum differs from the starting integer by -3,287,670.

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Prime Factor Structure

Factorization String 3 × 5^2 × 139 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,457,280
Proper Divisor Sum 6,584,805
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9872449 ← → #9872501

Radix Representation

Decimal 9872475
Binary 100101101010010001011011 (24 bits)
Octal 0o45522133
Hexadecimal 0x96A45B

Divisor Catalog (5 of 24)

1 3 5 15 25

Collatz Trajectory (114 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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