λ
Math Directory

5,954,823

33 × 73 × 643
Deficient Odd Composite

5,954,823 factors as 3^3 × 7^3 × 643. Its 32 positive divisors give a proper-divisor sum of 4,349,177, so this integer is deficient. The Collatz stopping time is 121 steps.

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Prime Factor Structure

Factorization String 3^3 × 7^3 × 643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,304,000
Proper Divisor Sum 4,349,177
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5954803 ← → #5954827

Radix Representation

Decimal 5954823
Binary 10110101101110100000111 (23 bits)
Octal 0o26556407
Hexadecimal 0x5ADD07

Divisor Catalog (5 of 32)

1 3 7 9 21

Collatz Trajectory (121 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.

5,954,823 17,864,470 8,932,235 26,796,706 13,398,353

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