λ
Harmonic Matrix

9,008,802

2 × 32 × 11 × 173 × 263
Abundant Even Composite

9,008,802 has digital root 9. The neighboring primes are 9008777 and 9008803; its proper-divisor sum differs from the starting integer by 3,480,444.

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Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 173 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,498,048
Proper Divisor Sum 12,489,246
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9008777 ← → #9008803

Radix Representation

Decimal 9008802
Binary 100010010111011010100010 (24 bits)
Octal 0o42273242
Hexadecimal 0x8976A2

Divisor Catalog (5 of 48)

1 2 3 6 9

Collatz Trajectory (137 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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