λ
Match Zalai

1,597,824

27 × 32 × 19 × 73
Abundant Even Composite

1,597,824 factors as 2^7 × 3^2 × 19 × 73. Its 96 positive divisors give a proper-divisor sum of 3,308,376, so this integer is abundant. The Collatz stopping time is 57 steps.

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Prime Factor Structure

Factorization String 2^7 × 3^2 × 19 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,906,200
Proper Divisor Sum 3,308,376
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1597823 ← → #1597829

Radix Representation

Decimal 1597824
Binary 110000110000110000000 (21 bits)
Octal 0o6060600
Hexadecimal 0x186180

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (57 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.

1,597,824 798,912 399,456 199,728 99,864

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