λ
Match Zalai

7,838,089

72 × 19 × 8419
Deficient Odd Composite

7,838,089 factors as 7^2 × 19 × 8419. Its 12 positive divisors give a proper-divisor sum of 1,760,711, so this integer is deficient. The Collatz stopping time is 186 steps.

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Prime Factor Structure

Factorization String 7^2 × 19 × 8419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,598,800
Proper Divisor Sum 1,760,711
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7838069 ← → #7838107

Radix Representation

Decimal 7838089
Binary 11101111001100110001001 (23 bits)
Octal 0o35714611
Hexadecimal 0x779989

Divisor Catalog (5 of 12)

1 7 19 49 133

Collatz Trajectory (186 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.

7,838,089 23,514,268 11,757,134 5,878,567 17,635,702

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