λ
Harmonic Matrix

4,204,521

33 × 155723
Deficient Odd Composite

4,204,521 has digital root 9. The neighboring primes are 4204511 and 4204523; its proper-divisor sum differs from the starting integer by -2,180,082.

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Prime Factor Structure

Factorization String 3^3 × 155723
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,228,960
Proper Divisor Sum 2,024,439
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4204511 ← → #4204523

Radix Representation

Decimal 4204521
Binary 10000000010011111101001 (23 bits)
Octal 0o20023751
Hexadecimal 0x4027E9

Divisor Catalog (5 of 8)

1 3 9 27 155,723

Collatz Trajectory (128 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.

4,204,521 12,613,564 6,306,782 3,153,391 9,460,174

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