λ
Harmonic Matrix

527,126

2 × 449 × 587
Deficient Even Composite

527,126 has digital root 5. The neighboring primes are 527123 and 527129; its proper-divisor sum differs from the starting integer by -260,452.

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Prime Factor Structure

Factorization String 2 × 449 × 587
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 793,800
Proper Divisor Sum 266,674
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #527123 ← → #527129

Radix Representation

Decimal 527126
Binary 10000000101100010110 (20 bits)
Octal 0o2005426
Hexadecimal 0x80B16

Divisor Catalog (5 of 8)

Collatz Trajectory (151 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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