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Math Directory

2,079,575

52 × 193 × 431
Deficient Odd Composite

2,079,575 factors as 5^2 × 193 × 431. Its 12 positive divisors give a proper-divisor sum of 518,473, so this integer is deficient. The Collatz stopping time is 197 steps.

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Prime Factor Structure

Factorization String 5^2 × 193 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,598,048
Proper Divisor Sum 518,473
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2079563 ← → #2079577

Radix Representation

Decimal 2079575
Binary 111111011101101010111 (21 bits)
Octal 0o7735527
Hexadecimal 0x1FBB57

Divisor Catalog (5 of 12)

1 5 25 193 431

Collatz Trajectory (197 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.

2,079,575 6,238,726 3,119,363 9,358,090 4,679,045

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