λ
Math Directory

8,363,625

3 × 53 × 22303
Deficient Odd Composite

8,363,625 factors as 3 × 5^3 × 22303. Its 16 positive divisors give a proper-divisor sum of 5,554,071, so this integer is deficient. The Collatz stopping time is 181 steps.

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Prime Factor Structure

Factorization String 3 × 5^3 × 22303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,917,696
Proper Divisor Sum 5,554,071
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8363617 ← → #8363627

Radix Representation

Decimal 8363625
Binary 11111111001111001101001 (23 bits)
Octal 0o37717151
Hexadecimal 0x7F9E69

Divisor Catalog (5 of 16)

1 3 5 15 25

Collatz Trajectory (181 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.

8,363,625 25,090,876 12,545,438 6,272,719 18,818,158

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