λ
Zalai Atlas

5,258,020

22 × 5 × 262901
Abundant Even Composite

5,258,020 has the prime decomposition 2^2 × 5 × 262901. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 262901
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,041,884
Proper Divisor Sum 5,783,864
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5257999 ← → #5258023

Radix Representation

Decimal 5258020
Binary 10100000011101100100100 (23 bits)
Octal 0o24035444
Hexadecimal 0x503B24

Divisor Catalog (12)

1 2 4 5 10 20 262,901 525,802 1,051,604 1,314,505 2,629,010 5,258,020

Collatz Trajectory (144 steps to reach 1)

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

5,258,020 2,629,010 1,314,505 3,943,516 1,971,758 985,879 2,957,638 1,478,819 4,436,458 2,218,229 6,654,688 3,327,344 1,663,672 831,836 415,918 207,959 623,878 311,939 935,818 467,909 1,403,728 701,864 350,932 175,466 87,733 263,200 131,600 65,800 32,900 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155

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