3,431,850

2 × 3 × 5² × 137 × 167

3,431,850 has the prime decomposition 2 × 3 × 5^2 × 137 × 167. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 137 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,624,448

Proper Divisor Sum 5,192,598

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3431849 ← → #3431851

Radix Representation

Decimal	3431850
Binary	1101000101110110101010 (22 bits)
Octal	0o15056652
Hexadecimal	0x345DAA

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 137 150 167 274 334 411 501 685 822 835 1,002 1,370 1,670 2,055 2,505 3,425 4,110 4,175 5,010 6,850 8,350 10,275 12,525 20,550 22,879 25,050 45,758 68,637 114,395 137,274 228,790 343,185 571,975 686,370 1,143,950 1,715,925 3,431,850

Collatz Trajectory (102 steps to reach 1)

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

3,431,850 1,715,925 5,147,776 2,573,888 1,286,944 643,472 321,736 160,868 80,434 40,217 120,652 60,326 30,163 90,490 45,245 135,736 67,868 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

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