λ
Harmonic Matrix

5,737,228

22 × 7 × 172 × 709
Abundant Even Composite

5,737,228 has digital root 7. The neighboring primes are 5737213 and 5737229; its proper-divisor sum differs from the starting integer by 731,864.

Prime Factor Structure

Factorization String 2^2 × 7 × 17^2 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,206,320
Proper Divisor Sum 6,469,092
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5737213 ← → #5737229

Radix Representation

Decimal 5737228
Binary 10101111000101100001100 (23 bits)
Octal 0o25705414
Hexadecimal 0x578B0C

Divisor Catalog (36)

Collatz Trajectory (183 steps to reach 1)

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

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