λ
Match Zalai

5,637,128

23 × 7 × 43 × 2341
Abundant Even Composite

5,637,128 factors as 2^3 × 7 × 43 × 2341. Its 32 positive divisors give a proper-divisor sum of 6,728,632, so this integer is abundant. The Collatz stopping time is 131 steps.

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Prime Factor Structure

Factorization String 2^3 × 7 × 43 × 2341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,365,760
Proper Divisor Sum 6,728,632
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5637127 ← → #5637143

Radix Representation

Decimal 5637128
Binary 10101100000010000001000 (23 bits)
Octal 0o25402010
Hexadecimal 0x560408

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (131 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.

5,637,128 2,818,564 1,409,282 704,641 2,113,924

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