λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,515,500

55,515,500

22 × 53 × 111031
Abundant Even Composite

55,515,500 factors as 2^2 × 5^3 × 111031. Its 24 positive divisors give a proper-divisor sum of 65,731,444, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 111031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 121,246,944
Proper Divisor Sum 65,731,444
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #55515497 ← → #55515529

Radix Representation

Decimal 55515500
Binary 11010011110001100101101100 (26 bits)
Octal 0o323614554
Hexadecimal 0x34F196C

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 111,031 222,062 444,124 555,155 1,110,310 2,220,620 2,775,775 5,551,550 11,103,100 13,878,875 27,757,750 55,515,500

Collatz Trajectory (137 steps to reach 1)

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

55,515,500 27,757,750 13,878,875 41,636,626 20,818,313 62,454,940 31,227,470 15,613,735 46,841,206 23,420,603 70,261,810 35,130,905 105,392,716 52,696,358 26,348,179 79,044,538 39,522,269 118,566,808 59,283,404 29,641,702 14,820,851 44,462,554 22,231,277 66,693,832 33,346,916 16,673,458 8,336,729 25,010,188 12,505,094 6,252,547 18,757,642 9,378,821 28,136,464 14,068,232 7,034,116 3,517,058 1,758,529 5,275,588 2,637,794 1,318,897 3,956,692 1,978,346 989,173 2,967,520 1,483,760 741,880 370,940 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #55,515,499 Browse Full Index Next Integer #55,515,501 →