λ
Match Zalai

7,715,901

3 × 167 × 15401
Deficient Odd Composite

7,715,901 factors as 3 × 167 × 15401. Its 8 positive divisors give a proper-divisor sum of 2,634,243, so this integer is deficient. The Collatz stopping time is 72 steps.

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Prime Factor Structure

Factorization String 3 × 167 × 15401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,350,144
Proper Divisor Sum 2,634,243
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7715891 ← → #7715927

Radix Representation

Decimal 7715901
Binary 11101011011110000111101 (23 bits)
Octal 0o35336075
Hexadecimal 0x75BC3D

Divisor Catalog (5 of 8)

1 3 167 501 15,401

Collatz Trajectory (72 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.

7,715,901 23,147,704 11,573,852 5,786,926 2,893,463

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