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Math Directory

7,737,871

409 × 18919
Deficient Odd Composite

7,737,871 factors as 409 × 18919. Its 4 positive divisors give a proper-divisor sum of 19,329, so this integer is deficient. The Collatz stopping time is 217 steps.

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Prime Factor Structure

Factorization String 409 × 18919
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,757,200
Proper Divisor Sum 19,329
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7737859 ← → #7737929

Radix Representation

Decimal 7737871
Binary 11101100001001000001111 (23 bits)
Octal 0o35411017
Hexadecimal 0x76120F

Divisor Catalog (4)

1 409 18,919 7,737,871

Collatz Trajectory (217 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.

7,737,871 23,213,614 11,606,807 34,820,422 17,410,211

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