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Math Directory

7,774,015

5 × 17 × 91459
Deficient Odd Composite

7,774,015 factors as 5 × 17 × 91459. Its 8 positive divisors give a proper-divisor sum of 2,103,665, so this integer is deficient. The Collatz stopping time is 186 steps.

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Prime Factor Structure

Factorization String 5 × 17 × 91459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,877,680
Proper Divisor Sum 2,103,665
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7774007 ← → #7774031

Radix Representation

Decimal 7774015
Binary 11101101001111100111111 (23 bits)
Octal 0o35517477
Hexadecimal 0x769F3F

Divisor Catalog (5 of 8)

1 5 17 85 91,459

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.

7,774,015 23,322,046 11,661,023 34,983,070 17,491,535

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