λ
Prime Ledger

3,746,850

2 × 3 × 52 × 24979
Abundant Even Composite

3,746,850 has the prime decomposition 2 × 3 × 5^2 × 24979. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 24979
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,292,560
Proper Divisor Sum 5,545,710
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3746843 ← → #3746909

Radix Representation

Decimal 3746850
Binary 1110010010110000100010 (22 bits)
Octal 0o16226042
Hexadecimal 0x392C22

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 24,979 49,958 74,937 124,895 149,874 249,790 374,685 624,475 749,370 1,248,950 1,873,425 3,746,850

Collatz Trajectory (128 steps to reach 1)

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

3,746,850 1,873,425 5,620,276 2,810,138 1,405,069 4,215,208 2,107,604 1,053,802 526,901 1,580,704 790,352 395,176 197,588 98,794 49,397 148,192 74,096 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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