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Math Directory

1,077,084

22 × 33 × 9973
Abundant Even Composite

1,077,084 factors as 2^2 × 3^3 × 9973. Its 24 positive divisors give a proper-divisor sum of 1,715,636, so this integer is abundant. The Collatz stopping time is 116 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 9973
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,792,720
Proper Divisor Sum 1,715,636
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1077079 ← → #1077101

Radix Representation

Decimal 1077084
Binary 100000110111101011100 (21 bits)
Octal 0o4067534
Hexadecimal 0x106F5C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (116 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.

1,077,084 538,542 269,271 807,814 403,907

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