λ
Prime Ledger

5,987,475

32 × 52 × 13 × 23 × 89
Abundant Odd Composite

5,987,475 has the prime decomposition 3^2 × 5^2 × 13 × 23 × 89. Its 5 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 23 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,186,720
Proper Divisor Sum 6,199,245
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5987473 ← → #5987477

Radix Representation

Decimal 5987475
Binary 10110110101110010010011 (23 bits)
Octal 0o26656223
Hexadecimal 0x5B5C93

Divisor Catalog (5 of 72)

1 3 5 9 13

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.

5,987,475 17,962,426 8,981,213 26,943,640 13,471,820

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