λ
Harmonic Matrix

4,472,732

22 × 11 × 101653
Deficient Even Composite

4,472,732 has digital root 2. The neighboring primes are 4472701 and 4472747; its proper-divisor sum differs from the starting integer by -406,528.

Prime Factor Structure

Factorization String 2^2 × 11 × 101653
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,538,936
Proper Divisor Sum 4,066,204
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4472701 ← → #4472747

Radix Representation

Decimal 4472732
Binary 10001000011111110011100 (23 bits)
Octal 0o21037634
Hexadecimal 0x443F9C

Divisor Catalog (12)

Collatz Trajectory (118 steps to reach 1)

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

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