λ
Math Directory

8,728,605

32 × 5 × 47 × 4127
Deficient Odd Composite

8,728,605 factors as 3^2 × 5 × 47 × 4127. Its 24 positive divisors give a proper-divisor sum of 6,726,627, so this integer is deficient. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 3^2 × 5 × 47 × 4127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,455,232
Proper Divisor Sum 6,726,627
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8728597 ← → #8728607

Radix Representation

Decimal 8728605
Binary 100001010011000000011101 (24 bits)
Octal 0o41230035
Hexadecimal 0x85301D

Divisor Catalog (5 of 24)

1 3 5 9 15

Collatz Trajectory (93 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.

8,728,605 26,185,816 13,092,908 6,546,454 3,273,227

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