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Math Directory

918,918

2 × 33 × 7 × 11 × 13 × 17
Abundant Even Composite

918,918 factors as 2 × 3^3 × 7 × 11 × 13 × 17. Its 128 positive divisors give a proper-divisor sum of 1,984,122, so this integer is abundant. The Collatz stopping time is 170 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 13 × 17
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 2,903,040
Proper Divisor Sum 1,984,122
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #918913 ← → #918943

Radix Representation

Decimal 918918
Binary 11100000010110000110 (20 bits)
Octal 0o3402606
Hexadecimal 0xE0586

Divisor Catalog (5 of 128)

1 2 3 6 7

Collatz Trajectory (170 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.

918,918 459,459 1,378,378 689,189 2,067,568

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