λ
Math Directory

6,747,313

107 × 63059
Deficient Odd Composite

6,747,313 factors as 107 × 63059. Its 4 positive divisors give a proper-divisor sum of 63,167, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 107 × 63059
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,810,480
Proper Divisor Sum 63,167
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6747289 ← → #6747331

Radix Representation

Decimal 6747313
Binary 11001101111010010110001 (23 bits)
Octal 0o31572261
Hexadecimal 0x66F4B1

Divisor Catalog (4)

1 107 63,059 6,747,313

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,747,313 20,241,940 10,120,970 5,060,485 15,181,456 7,590,728 3,795,364 1,897,682 948,841 2,846,524 1,423,262 711,631 2,134,894 1,067,447 3,202,342 1,601,171 4,803,514 2,401,757 7,205,272 3,602,636 1,801,318 900,659 2,701,978 1,350,989 4,052,968 2,026,484 1,013,242 506,621 1,519,864 759,932 379,966 189,983 569,950 284,975 854,926 427,463 1,282,390 641,195 1,923,586 961,793 2,885,380 1,442,690 721,345 2,164,036 1,082,018 541,009 1,623,028 811,514 405,757 1,217,272 608,636 304,318 152,159 456,478 228,239 684,718 342,359 1,027,078 513,539 1,540,618

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