4,240,100

2² × 5² × 109 × 389

4,240,100 has the prime decomposition 2^2 × 5^2 × 109 × 389. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 109 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,309,300

Proper Divisor Sum 5,069,200

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #4240091 ← → #4240109

Radix Representation

Decimal	4240100
Binary	10000001011001011100100 (23 bits)
Octal	0o20131344
Hexadecimal	0x40B2E4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 109 218 389 436 545 778 1,090 1,556 1,945 2,180 2,725 3,890 5,450 7,780 9,725 10,900 19,450 38,900 42,401 84,802 169,604 212,005 424,010 848,020 1,060,025 2,120,050 4,240,100

Collatz Trajectory (105 steps to reach 1)

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

4,240,100 2,120,050 1,060,025 3,180,076 1,590,038 795,019 2,385,058 1,192,529 3,577,588 1,788,794 894,397 2,683,192 1,341,596 670,798 335,399 1,006,198 503,099 1,509,298 754,649 2,263,948 1,131,974 565,987 1,697,962 848,981 2,546,944 1,273,472 636,736 318,368 159,184 79,592 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749

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