λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,113,884

5,113,884

22 × 3 × 31 × 59 × 233
Abundant Even Composite

5,113,884 factors as 2^2 × 3 × 31 × 59 × 233. Its 48 positive divisors give a proper-divisor sum of 7,465,956, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 59 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,579,840
Proper Divisor Sum 7,465,956
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5113877 ← → #5113891

Radix Representation

Decimal 5113884
Binary 10011100000100000011100 (23 bits)
Octal 0o23404034
Hexadecimal 0x4E081C

Divisor Catalog (48)

1 2 3 4 6 12 31 59 62 93 118 124 177 186 233 236 354 372 466 699 708 932 1,398 1,829 2,796 3,658 5,487 7,223 7,316 10,974 13,747 14,446 21,669 21,948 27,494 28,892 41,241 43,338 54,988 82,482 86,676 164,964 426,157 852,314 1,278,471 1,704,628 2,556,942 5,113,884

Collatz Trajectory (211 steps to reach 1)

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

5,113,884 2,556,942 1,278,471 3,835,414 1,917,707 5,753,122 2,876,561 8,629,684 4,314,842 2,157,421 6,472,264 3,236,132 1,618,066 809,033 2,427,100 1,213,550 606,775 1,820,326 910,163 2,730,490 1,365,245 4,095,736 2,047,868 1,023,934 511,967 1,535,902 767,951 2,303,854 1,151,927 3,455,782 1,727,891 5,183,674 2,591,837 7,775,512 3,887,756 1,943,878 971,939 2,915,818 1,457,909 4,373,728 2,186,864 1,093,432 546,716 273,358 136,679 410,038 205,019 615,058 307,529 922,588 461,294 230,647 691,942 345,971 1,037,914 518,957 1,556,872 778,436 389,218 194,609

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,113,883 Browse Full Index Next Integer #5,113,885 →