λ
Harmonic Matrix

3,720,001

269 × 13829
Deficient Odd Composite

3,720,001 has digital root 4. The neighboring primes are 3719999 and 3720011; its proper-divisor sum differs from the starting integer by -3,705,902.

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Prime Factor Structure

Factorization String 269 × 13829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,734,100
Proper Divisor Sum 14,099
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3719999 ← → #3720011

Radix Representation

Decimal 3720001
Binary 1110001100001101000001 (22 bits)
Octal 0o16141501
Hexadecimal 0x38C341

Divisor Catalog (4)

Collatz Trajectory (172 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.

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