λ
Prime Ledger

9,801,375

3 × 53 × 59 × 443
Deficient Odd Composite

9,801,375 has the prime decomposition 3 × 5^3 × 59 × 443. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5^3 × 59 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,623,360
Proper Divisor Sum 6,821,985
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9801349 ← → #9801383

Radix Representation

Decimal 9801375
Binary 100101011000111010011111 (24 bits)
Octal 0o45307237
Hexadecimal 0x958E9F

Divisor Catalog (5 of 32)

1 3 5 15 25

Collatz Trajectory (238 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.

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