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Atlas › Integer Profiles › Node 5,111,888

5,111,888

24 × 23 × 29 × 479
Abundant Even Composite

5,111,888 factors as 2^4 × 23 × 29 × 479. Its 40 positive divisors give a proper-divisor sum of 5,601,712, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 29 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,713,600
Proper Divisor Sum 5,601,712
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5111879 ← → #5111891

Radix Representation

Decimal 5111888
Binary 10011100000000001010000 (23 bits)
Octal 0o23400120
Hexadecimal 0x4E0050

Divisor Catalog (40)

1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 479 667 958 1,334 1,916 2,668 3,832 5,336 7,664 10,672 11,017 13,891 22,034 27,782 44,068 55,564 88,136 111,128 176,272 222,256 319,493 638,986 1,277,972 2,555,944 5,111,888

Collatz Trajectory (82 steps to reach 1)

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

5,111,888 2,555,944 1,277,972 638,986 319,493 958,480 479,240 239,620 119,810 59,905 179,716 89,858 44,929 134,788 67,394 33,697 101,092 50,546 25,273 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152

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