λ
Matchaa Zalai

5,637,200

24 × 52 × 17 × 829
Abundant Even Composite

5,637,200 factors as 2^4 × 5^2 × 17 × 829. Its 60 positive divisors give a proper-divisor sum of 8,720,140, so this integer is abundant. The Collatz stopping time is 201 steps.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 17 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 14,357,340
Proper Divisor Sum 8,720,140
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5637173 ← → #5637221

Radix Representation

Decimal 5637200
Binary 10101100000010001010000 (23 bits)
Octal 0o25402120
Hexadecimal 0x560450

Divisor Catalog (5 of 60)

1 2 4 5 8

Collatz Trajectory (201 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.

5,637,200 2,818,600 1,409,300 704,650 352,325

More profiles

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