λ
Harmonic Matrix

9,341,712

24 × 32 × 29 × 2237
Abundant Even Composite

9,341,712 has digital root 9. The neighboring primes are 9341681 and 9341713; its proper-divisor sum differs from the starting integer by 8,373,996.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 29 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 27,057,420
Proper Divisor Sum 17,715,708
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9341681 ← → #9341713

Radix Representation

Decimal 9341712
Binary 100011101000101100010000 (24 bits)
Octal 0o43505420
Hexadecimal 0x8E8B10

Divisor Catalog (5 of 60)

1 2 3 4 6

Collatz Trajectory (75 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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