λ
Harmonic Matrix

4,208,841

34 × 7 × 13 × 571
Deficient Odd Composite

4,208,841 has digital root 9. The neighboring primes are 4208821 and 4208849; its proper-divisor sum differs from the starting integer by -665,938.

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Prime Factor Structure

Factorization String 3^4 × 7 × 13 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,751,744
Proper Divisor Sum 3,542,903
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4208821 ← → #4208849

Radix Representation

Decimal 4208841
Binary 10000000011100011001001 (23 bits)
Octal 0o20034311
Hexadecimal 0x4038C9

Divisor Catalog (5 of 40)

1 3 7 9 13

Collatz Trajectory (198 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.

4,208,841 12,626,524 6,313,262 3,156,631 9,469,894

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