λ
Match Zalai

8,202,625

53 × 211 × 311
Deficient Odd Composite

8,202,625 factors as 5^3 × 211 × 311. Its 16 positive divisors give a proper-divisor sum of 2,115,839, so this integer is deficient. The Collatz stopping time is 124 steps.

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Prime Factor Structure

Factorization String 5^3 × 211 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,318,464
Proper Divisor Sum 2,115,839
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8202613 ← → #8202629

Radix Representation

Decimal 8202625
Binary 11111010010100110000001 (23 bits)
Octal 0o37224601
Hexadecimal 0x7D2981

Divisor Catalog (5 of 16)

1 5 25 125 211

Collatz Trajectory (124 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.

8,202,625 24,607,876 12,303,938 6,151,969 18,455,908

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