λ
Ratio Atlas

527,872

29 × 1031
Deficient Even Composite

527,872 factors as 2^9 × 1031. Its 20 positive divisors give a proper-divisor sum of 527,864, so this integer is deficient. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^9 × 1031
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,055,736
Proper Divisor Sum 527,864
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #527869 ← → #527881

Radix Representation

Decimal 527872
Binary 10000000111000000000 (20 bits)
Octal 0o2007000
Hexadecimal 0x80E00

Divisor Catalog (20)

Collatz Trajectory (45 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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