λ
Harmonic Matrix

4,337,721

32 × 349 × 1381
Deficient Odd Composite

4,337,721 has digital root 9. The neighboring primes are 4337717 and 4337741; its proper-divisor sum differs from the starting integer by -2,387,342.

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Prime Factor Structure

Factorization String 3^2 × 349 × 1381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,288,100
Proper Divisor Sum 1,950,379
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4337717 ← → #4337741

Radix Representation

Decimal 4337721
Binary 10000100011000000111001 (23 bits)
Octal 0o20430071
Hexadecimal 0x423039

Divisor Catalog (5 of 12)

1 3 9 349 1,047

Collatz Trajectory (242 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.

4,337,721 13,013,164 6,506,582 3,253,291 9,759,874

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