λ
Harmonic Matrix

4,672,584

23 × 32 × 7 × 73 × 127
Abundant Even Composite

4,672,584 has digital root 9. The neighboring primes are 4672579 and 4672597; its proper-divisor sum differs from the starting integer by 5,431,152.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 73 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 14,776,320
Proper Divisor Sum 10,103,736
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4672579 ← → #4672597

Radix Representation

Decimal 4672584
Binary 10001110100110001001000 (23 bits)
Octal 0o21646110
Hexadecimal 0x474C48

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (154 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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