λ
Harmonic Matrix

3,773,600

25 × 52 × 53 × 89
Abundant Even Composite

3,773,600 has digital root 8. The neighboring primes are 3773597 and 3773617; its proper-divisor sum differs from the starting integer by 1,944,380.

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Prime Factor Structure

Factorization String 2^5 × 5^2 × 53 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 9,491,580
Proper Divisor Sum 5,717,980
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3773597 ← → #3773617

Radix Representation

Decimal 3773600
Binary 1110011001010010100000 (22 bits)
Octal 0o16312240
Hexadecimal 0x3994A0

Divisor Catalog (5 of 72)

1 2 4 5 8

Collatz Trajectory (110 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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