λ
Prime Ledger

5,976,864

25 × 32 × 20753
Abundant Even Composite

5,976,864 has the prime decomposition 2^5 × 3^2 × 20753. Its 3 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 20753
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,997,526
Proper Divisor Sum 11,020,662
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5976823 ← → #5976881

Radix Representation

Decimal 5976864
Binary 10110110011001100100000 (23 bits)
Octal 0o26631440
Hexadecimal 0x5B3320

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (90 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.

5,976,864 2,988,432 1,494,216 747,108 373,554

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