λ
Harmonic Matrix

9,301,028

22 × 113 × 1747
Deficient Even Composite

9,301,028 has digital root 5. The neighboring primes are 9301009 and 9301031; its proper-divisor sum differs from the starting integer by -688,552.

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Prime Factor Structure

Factorization String 2^2 × 11^3 × 1747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,913,504
Proper Divisor Sum 8,612,476
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9301009 ← → #9301031

Radix Representation

Decimal 9301028
Binary 100011011110110000100100 (24 bits)
Octal 0o43366044
Hexadecimal 0x8DEC24

Divisor Catalog (5 of 24)

1 2 4 11 22

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.

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