λ
Match Zalai

852,525

34 × 52 × 421
Deficient Odd Composite

852,525 factors as 3^4 × 5^2 × 421. Its 30 positive divisors give a proper-divisor sum of 730,397, so this integer is deficient. The Collatz stopping time is 74 steps.

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Prime Factor Structure

Factorization String 3^4 × 5^2 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,582,922
Proper Divisor Sum 730,397
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #852521 ← → #852557

Radix Representation

Decimal 852525
Binary 11010000001000101101 (20 bits)
Octal 0o3201055
Hexadecimal 0xD022D

Divisor Catalog (5 of 30)

1 3 5 9 15

Collatz Trajectory (74 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.

852,525 2,557,576 1,278,788 639,394 319,697

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