λ
Harmonic Matrix

9,778,587

3 × 73 × 13 × 17 × 43
Deficient Odd Composite

9,778,587 has digital root 6. The neighboring primes are 9778543 and 9778589; its proper-divisor sum differs from the starting integer by -1,816,374.

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Prime Factor Structure

Factorization String 3 × 7^3 × 13 × 17 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,740,800
Proper Divisor Sum 7,962,213
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #9778543 ← → #9778589

Radix Representation

Decimal 9778587
Binary 100101010011010110011011 (24 bits)
Octal 0o45232633
Hexadecimal 0x95359B

Divisor Catalog (5 of 64)

1 3 7 13 17

Collatz Trajectory (62 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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