λ
Match Zalai

2,098,616

23 × 13 × 17 × 1187
Abundant Even Composite

2,098,616 factors as 2^3 × 13 × 17 × 1187. Its 32 positive divisors give a proper-divisor sum of 2,392,024, so this integer is abundant. The Collatz stopping time is 78 steps.

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Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,490,640
Proper Divisor Sum 2,392,024
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2098609 ← → #2098639

Radix Representation

Decimal 2098616
Binary 1000000000010110111000 (22 bits)
Octal 0o10002670
Hexadecimal 0x2005B8

Divisor Catalog (5 of 32)

1 2 4 8 13

Collatz Trajectory (78 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.

2,098,616 1,049,308 524,654 262,327 786,982

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