λ
Match Zalai

1,588,832

25 × 7 × 41 × 173
Abundant Even Composite

1,588,832 factors as 2^5 × 7 × 41 × 173. Its 48 positive divisors give a proper-divisor sum of 2,094,400, so this integer is abundant. The Collatz stopping time is 101 steps.

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Prime Factor Structure

Factorization String 2^5 × 7 × 41 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,683,232
Proper Divisor Sum 2,094,400
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1588819 ← → #1588841

Radix Representation

Decimal 1588832
Binary 110000011111001100000 (21 bits)
Octal 0o6037140
Hexadecimal 0x183E60

Divisor Catalog (5 of 48)

1 2 4 7 8

Collatz Trajectory (101 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.

1,588,832 794,416 397,208 198,604 99,302

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