λ
Harmonic Matrix

5,790,500

22 × 53 × 37 × 313
Abundant Even Composite

5,790,500 has digital root 8. The neighboring primes are 5790487 and 5790527; its proper-divisor sum differs from the starting integer by 1,448,744.

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Prime Factor Structure

Factorization String 2^2 × 5^3 × 37 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,029,744
Proper Divisor Sum 7,239,244
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5790487 ← → #5790527

Radix Representation

Decimal 5790500
Binary 10110000101101100100100 (23 bits)
Octal 0o26055444
Hexadecimal 0x585B24

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (214 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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