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Math Directory

2,078,055

34 × 5 × 7 × 733
Abundant Odd Composite

2,078,055 factors as 3^4 × 5 × 7 × 733. Its 40 positive divisors give a proper-divisor sum of 2,185,017, so this integer is abundant. The Collatz stopping time is 153 steps.

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Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,263,072
Proper Divisor Sum 2,185,017
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2078051 ← → #2078059

Radix Representation

Decimal 2078055
Binary 111111011010101100111 (21 bits)
Octal 0o7732547
Hexadecimal 0x1FB567

Divisor Catalog (5 of 40)

1 3 5 7 9

Collatz Trajectory (153 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.

2,078,055 6,234,166 3,117,083 9,351,250 4,675,625

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