λ
Ratio Atlas

857,504

25 × 127 × 211
Deficient Even Composite

857,504 factors as 2^5 × 127 × 211. Its 24 positive divisors give a proper-divisor sum of 852,064, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^5 × 127 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,709,568
Proper Divisor Sum 852,064
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #857471 ← → #857513

Radix Representation

Decimal 857504
Binary 11010001010110100000 (20 bits)
Octal 0o3212640
Hexadecimal 0xD15A0

Divisor Catalog (24)

Collatz Trajectory (144 steps to reach 1)

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

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