λ
Harmonic Matrix

8,448,049

8448049
Deficient Odd Prime

8,448,049 has digital root 1. The neighboring primes are 8448047 and 8448053; its proper-divisor sum differs from the starting integer by -8,448,048.

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Prime Factor Structure

Factorization String 8448049
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,448,050
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8448047 ← → #8448053

Radix Representation

Decimal 8448049
Binary 100000001110100000110001 (24 bits)
Octal 0o40164061
Hexadecimal 0x80E831

Divisor Catalog (2)

Collatz Trajectory (274 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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