λ
Harmonic Matrix

5,577,200

24 × 52 × 73 × 191
Abundant Even Composite

5,577,200 has digital root 8. The neighboring primes are 5577199 and 5577217; its proper-divisor sum differs from the starting integer by 2,499,488.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 73 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,653,888
Proper Divisor Sum 8,076,688
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5577199 ← → #5577217

Radix Representation

Decimal 5577200
Binary 10101010001100111110000 (23 bits)
Octal 0o25214760
Hexadecimal 0x5519F0

Divisor Catalog (60)

Collatz Trajectory (201 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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