λ
Harmonic Matrix

5,422,527

32 × 11 × 54773
Deficient Odd Composite

5,422,527 has digital root 9. The neighboring primes are 5422517 and 5422553; its proper-divisor sum differs from the starting integer by -2,300,310.

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Prime Factor Structure

Factorization String 3^2 × 11 × 54773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,544,744
Proper Divisor Sum 3,122,217
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5422517 ← → #5422553

Radix Representation

Decimal 5422527
Binary 10100101011110110111111 (23 bits)
Octal 0o24536677
Hexadecimal 0x52BDBF

Divisor Catalog (5 of 12)

1 3 9 11 33

Collatz Trajectory (201 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.

5,422,527 16,267,582 8,133,791 24,401,374 12,200,687

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