λ
Integer Codex

5,976,000

26 × 32 × 53 × 83
Abundant Even Composite

For 5,976,000, the 168 positive divisors have a total of 21,634,704. Removing 5,976,000 leaves 15,658,704, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^3 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 21,634,704
Proper Divisor Sum 15,658,704
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5975969 ← → #5976007

Radix Representation

Decimal 5976000
Binary 10110110010111111000000 (23 bits)
Octal 0o26627700
Hexadecimal 0x5B2FC0

Divisor Catalog (5 of 168)

1 2 3 4 5

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.

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