λ
Harmonic Matrix

9,310,332

22 × 3 × 775861
Abundant Even Composite

9,310,332 has digital root 3. The neighboring primes are 9310309 and 9310333; its proper-divisor sum differs from the starting integer by 3,103,472.

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Prime Factor Structure

Factorization String 2^2 × 3 × 775861
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 21,724,136
Proper Divisor Sum 12,413,804
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9310309 ← → #9310333

Radix Representation

Decimal 9310332
Binary 100011100001000001111100 (24 bits)
Octal 0o43410174
Hexadecimal 0x8E107C

Divisor Catalog (5 of 12)

1 2 3 4 6

Collatz Trajectory (194 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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