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Atlas › Integer Profiles › Node 5,339,971

5,339,971

72 × 13 × 83 × 101
Deficient Odd Composite

5,339,971 factors as 7^2 × 13 × 83 × 101. Its 24 positive divisors give a proper-divisor sum of 1,497,293, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 83 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,837,264
Proper Divisor Sum 1,497,293
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5339903 ← → #5339987

Radix Representation

Decimal 5339971
Binary 10100010111101101000011 (23 bits)
Octal 0o24275503
Hexadecimal 0x517B43

Divisor Catalog (24)

1 7 13 49 83 91 101 581 637 707 1,079 1,313 4,067 4,949 7,553 8,383 9,191 52,871 58,681 64,337 108,979 410,767 762,853 5,339,971

Collatz Trajectory (263 steps to reach 1)

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

5,339,971 16,019,914 8,009,957 24,029,872 12,014,936 6,007,468 3,003,734 1,501,867 4,505,602 2,252,801 6,758,404 3,379,202 1,689,601 5,068,804 2,534,402 1,267,201 3,801,604 1,900,802 950,401 2,851,204 1,425,602 712,801 2,138,404 1,069,202 534,601 1,603,804 801,902 400,951 1,202,854 601,427 1,804,282 902,141 2,706,424 1,353,212 676,606 338,303 1,014,910 507,455 1,522,366 761,183 2,283,550 1,141,775 3,425,326 1,712,663 5,137,990 2,568,995 7,706,986 3,853,493 11,560,480 5,780,240 2,890,120 1,445,060 722,530 361,265 1,083,796 541,898 270,949 812,848 406,424 203,212

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