λ
Harmonic Matrix

8,052,521

8052521
Deficient Odd Prime

8,052,521 has digital root 5. The neighboring primes are 8052511 and 8052587; its proper-divisor sum differs from the starting integer by -8,052,520.

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Prime Factor Structure

Factorization String 8052521
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,052,522
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8052511 ← → #8052587

Radix Representation

Decimal 8052521
Binary 11110101101111100101001 (23 bits)
Octal 0o36557451
Hexadecimal 0x7ADF29

Divisor Catalog (2)

Collatz Trajectory (186 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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