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Math Directory

1,820,118

2 × 3 × 61 × 4973
Abundant Even Composite

1,820,118 factors as 2 × 3 × 61 × 4973. Its 16 positive divisors give a proper-divisor sum of 1,880,538, so this integer is abundant. The Collatz stopping time is 109 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 61 × 4973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,700,656
Proper Divisor Sum 1,880,538
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1820111 ← → #1820123

Radix Representation

Decimal 1820118
Binary 110111100010111010110 (21 bits)
Octal 0o6742726
Hexadecimal 0x1BC5D6

Divisor Catalog (5 of 16)

1 2 3 6 61

Collatz Trajectory (109 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.

1,820,118 910,059 2,730,178 1,365,089 4,095,268

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