λ
Harmonic Matrix

9,693,752

23 × 1211719
Deficient Even Composite

9,693,752 has digital root 5. The neighboring primes are 9693737 and 9693763; its proper-divisor sum differs from the starting integer by -1,211,704.

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Prime Factor Structure

Factorization String 2^3 × 1211719
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 18,175,800
Proper Divisor Sum 8,482,048
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9693737 ← → #9693763

Radix Representation

Decimal 9693752
Binary 100100111110101000111000 (24 bits)
Octal 0o44765070
Hexadecimal 0x93EA38

Divisor Catalog (5 of 8)

1 2 4 8 1,211,719

Collatz Trajectory (176 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.

9,693,752 4,846,876 2,423,438 1,211,719 3,635,158

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