λ
Harmonic Matrix

5,764,300

22 × 52 × 59 × 977
Abundant Even Composite

5,764,300 has digital root 7. The neighboring primes are 5764289 and 5764303; its proper-divisor sum differs from the starting integer by 1,204,960.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 59 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,733,560
Proper Divisor Sum 6,969,260
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5764289 ← → #5764303

Radix Representation

Decimal 5764300
Binary 10101111111010011001100 (23 bits)
Octal 0o25772314
Hexadecimal 0x57F4CC

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (152 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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