502,100

2² × 5² × 5021

502,100 has the prime decomposition 2^2 × 5^2 × 5021. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 5021

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,089,774

Proper Divisor Sum 587,674

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #502093 ← → #502121

Radix Representation

Decimal	502100
Binary	1111010100101010100 (19 bits)
Octal	0o1724524
Hexadecimal	0x7A954

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 5,021 10,042 20,084 25,105 50,210 100,420 125,525 251,050 502,100

Collatz Trajectory (182 steps to reach 1)

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

502,100 251,050 125,525 376,576 188,288 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188

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