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Atlas › Integer Profiles › Node 5,111,064

5,111,064

23 × 32 × 7 × 10141
Abundant Even Composite

5,111,064 factors as 2^3 × 3^2 × 7 × 10141. Its 48 positive divisors give a proper-divisor sum of 10,710,456, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 10141
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,821,520
Proper Divisor Sum 10,710,456
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5111039 ← → #5111089

Radix Representation

Decimal 5111064
Binary 10011011111110100011000 (23 bits)
Octal 0o23376430
Hexadecimal 0x4DFD18

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 10,141 20,282 30,423 40,564 60,846 70,987 81,128 91,269 121,692 141,974 182,538 212,961 243,384 283,948 365,076 425,922 567,896 638,883 730,152 851,844 1,277,766 1,703,688 2,555,532 5,111,064

Collatz Trajectory (82 steps to reach 1)

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

5,111,064 2,555,532 1,277,766 638,883 1,916,650 958,325 2,874,976 1,437,488 718,744 359,372 179,686 89,843 269,530 134,765 404,296 202,148 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888 95,944 47,972 23,986 11,993 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152

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