λ
Prime Ledger

9,722,181

3 × 7 × 17 × 113 × 241
Deficient Odd Composite

9,722,181 has the prime decomposition 3 × 7 × 17 × 113 × 241. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 3 × 7 × 17 × 113 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,890,688
Proper Divisor Sum 6,168,507
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9722179 ← → #9722191

Radix Representation

Decimal 9722181
Binary 100101000101100101000101 (24 bits)
Octal 0o45054505
Hexadecimal 0x945945

Divisor Catalog (5 of 32)

1 3 7 17 21

Collatz Trajectory (225 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.

9,722,181 29,166,544 14,583,272 7,291,636 3,645,818

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