λ
Harmonic Matrix

3,720,413

3720413
Deficient Odd Prime

3,720,413 has digital root 2. The neighboring primes are 3720407 and 3720421; its proper-divisor sum differs from the starting integer by -3,720,412.

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Prime Factor Structure

Factorization String 3720413
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,720,414
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3720407 ← → #3720421

Radix Representation

Decimal 3720413
Binary 1110001100010011011101 (22 bits)
Octal 0o16142335
Hexadecimal 0x38C4DD

Divisor Catalog (2)

Collatz Trajectory (146 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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