λ
Zalai Atlas

9,982,467

33 × 11 × 19 × 29 × 61
Deficient Odd Composite

9,982,467 has the prime decomposition 3^3 × 11 × 19 × 29 × 61. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 3^3 × 11 × 19 × 29 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,856,000
Proper Divisor Sum 7,873,533
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9982457 ← → #9982477

Radix Representation

Decimal 9982467
Binary 100110000101001000000011 (24 bits)
Octal 0o46051003
Hexadecimal 0x985203

Divisor Catalog (5 of 64)

1 3 9 11 19

Collatz Trajectory (207 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.

9,982,467 29,947,402 14,973,701 44,921,104 22,460,552

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