3,821,500

2² × 5³ × 7643

3,821,500 has the prime decomposition 2^2 × 5^3 × 7643. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 7643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,347,248

Proper Divisor Sum 4,525,748

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3821497 ← → #3821513

Radix Representation

Decimal	3821500
Binary	1110100100111110111100 (22 bits)
Octal	0o16447674
Hexadecimal	0x3A4FBC

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 7,643 15,286 30,572 38,215 76,430 152,860 191,075 382,150 764,300 955,375 1,910,750 3,821,500

Collatz Trajectory (260 steps to reach 1)

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

3,821,500 1,910,750 955,375 2,866,126 1,433,063 4,299,190 2,149,595 6,448,786 3,224,393 9,673,180 4,836,590 2,418,295 7,254,886 3,627,443 10,882,330 5,441,165 16,323,496 8,161,748 4,080,874 2,040,437 6,121,312 3,060,656 1,530,328 765,164 382,582 191,291 573,874 286,937 860,812 430,406 215,203 645,610 322,805 968,416 484,208 242,104 121,052 60,526 30,263 90,790 45,395 136,186 68,093 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435

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