λ
Harmonic Matrix

6,585,072

24 × 3 × 13 × 61 × 173
Abundant Even Composite

6,585,072 has digital root 6. The neighboring primes are 6585071 and 6585079; its proper-divisor sum differs from the starting integer by 5,557,824.

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Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 61 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 18,727,968
Proper Divisor Sum 12,142,896
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6585071 ← → #6585079

Radix Representation

Decimal 6585072
Binary 11001000111101011110000 (23 bits)
Octal 0o31075360
Hexadecimal 0x647AF0

Divisor Catalog (5 of 80)

1 2 3 4 6

Collatz Trajectory (178 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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