λ
Harmonic Matrix

4,210,725

3 × 52 × 23 × 2441
Deficient Odd Composite

4,210,725 has digital root 3. The neighboring primes are 4210721 and 4210763; its proper-divisor sum differs from the starting integer by -1,154,058.

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Prime Factor Structure

Factorization String 3 × 5^2 × 23 × 2441
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,267,392
Proper Divisor Sum 3,056,667
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4210721 ← → #4210763

Radix Representation

Decimal 4210725
Binary 10000000100000000100101 (23 bits)
Octal 0o20040045
Hexadecimal 0x404025

Divisor Catalog (5 of 24)

1 3 5 15 23

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.

4,210,725 12,632,176 6,316,088 3,158,044 1,579,022

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