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Math Directory

1,089,296

24 × 13 × 5237
Abundant Even Composite

1,089,296 factors as 2^4 × 13 × 5237. Its 20 positive divisors give a proper-divisor sum of 1,183,996, so this integer is abundant. The Collatz stopping time is 85 steps.

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Prime Factor Structure

Factorization String 2^4 × 13 × 5237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,273,292
Proper Divisor Sum 1,183,996
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1089259 ← → #1089299

Radix Representation

Decimal 1089296
Binary 100001001111100010000 (21 bits)
Octal 0o4117420
Hexadecimal 0x109F10

Divisor Catalog (5 of 20)

1 2 4 8 13

Collatz Trajectory (85 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.

1,089,296 544,648 272,324 136,162 68,081

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