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Zalai Atlas

511,140

22 × 3 × 5 × 7 × 1217
Abundant Even Composite

511,140 has the prime decomposition 2^2 × 3 × 5 × 7 × 1217. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 1217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,636,992
Proper Divisor Sum 1,125,852
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #511123 ← → #511151

Radix Representation

Decimal 511140
Binary 1111100110010100100 (19 bits)
Octal 0o1746244
Hexadecimal 0x7CCA4

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (102 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.

511,140 255,570 127,785 383,356 191,678

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