5,387,628

2² × 3 × 448969

5,387,628 factors as 2^2 × 3 × 448969. Its 12 positive divisors give a proper-divisor sum of 7,183,532, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 448969

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,571,160

Proper Divisor Sum 7,183,532

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5387617 ← → #5387647

Radix Representation

Decimal	5387628
Binary	10100100011010101101100 (23 bits)
Octal	0o24432554
Hexadecimal	0x52356C

Divisor Catalog (12)

1 2 3 4 6 12 448,969 897,938 1,346,907 1,795,876 2,693,814 5,387,628

Collatz Trajectory (139 steps to reach 1)

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

5,387,628 2,693,814 1,346,907 4,040,722 2,020,361 6,061,084 3,030,542 1,515,271 4,545,814 2,272,907 6,818,722 3,409,361 10,228,084 5,114,042 2,557,021 7,671,064 3,835,532 1,917,766 958,883 2,876,650 1,438,325 4,314,976 2,157,488 1,078,744 539,372 269,686 134,843 404,530 202,265 606,796 303,398 151,699 455,098 227,549 682,648 341,324 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031

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