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Math Directory

3,662,658

2 × 34 × 23 × 983
Abundant Even Composite

3,662,658 factors as 2 × 3^4 × 23 × 983. Its 40 positive divisors give a proper-divisor sum of 4,909,950, so this integer is abundant. The Collatz stopping time is 110 steps.

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Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,572,608
Proper Divisor Sum 4,909,950
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3662657 ← → #3662683

Radix Representation

Decimal 3662658
Binary 1101111110001101000010 (22 bits)
Octal 0o15761502
Hexadecimal 0x37E342

Divisor Catalog (5 of 40)

1 2 3 6 9

Collatz Trajectory (110 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.

3,662,658 1,831,329 5,493,988 2,746,994 1,373,497

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