λ
Harmonic Matrix

4,728,227

7 × 17 × 39733
Deficient Odd Composite

4,728,227 has digital root 5. The neighboring primes are 4728221 and 4728233; its proper-divisor sum differs from the starting integer by -3,734,758.

Prime Factor Structure

Factorization String 7 × 17 × 39733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,721,696
Proper Divisor Sum 993,469
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4728221 ← → #4728233

Radix Representation

Decimal 4728227
Binary 10010000010010110100011 (23 bits)
Octal 0o22022643
Hexadecimal 0x4825A3

Divisor Catalog (8)

Collatz Trajectory (162 steps to reach 1)

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

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