λ
Harmonic Matrix

9,987,964

22 × 72 × 131 × 389
Abundant Even Composite

9,987,964 has digital root 7. The neighboring primes are 9987961 and 9987973; its proper-divisor sum differs from the starting integer by 564,592.

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Prime Factor Structure

Factorization String 2^2 × 7^2 × 131 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,540,520
Proper Divisor Sum 10,552,556
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #9987961 ← → #9987973

Radix Representation

Decimal 9987964
Binary 100110000110011101111100 (24 bits)
Octal 0o46063574
Hexadecimal 0x98677C

Divisor Catalog (5 of 36)

1 2 4 7 14

Collatz Trajectory (163 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.

9,987,964 4,993,982 2,496,991 7,490,974 3,745,487

More profiles

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