3,132,240

2⁴ × 3 × 5 × 31 × 421

3,132,240 has the prime decomposition 2^4 × 3 × 5 × 31 × 421. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 31 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 10,046,976

Proper Divisor Sum 6,914,736

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3132187 ← → #3132257

Radix Representation

Decimal	3132240
Binary	1011111100101101010000 (22 bits)
Octal	0o13745520
Hexadecimal	0x2FCB50

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 421 465 496 620 744 842 930 1,240 1,263 1,488 1,684 1,860 2,105 2,480 2,526 3,368 3,720 4,210 5,052 6,315 6,736 7,440 8,420 10,104 12,630 13,051 16,840 20,208 25,260 26,102 33,680

Collatz Trajectory (120 steps to reach 1)

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

3,132,240 1,566,120 783,060 391,530 195,765 587,296 293,648 146,824 73,412 36,706 18,353 55,060 27,530 13,765 41,296 20,648 10,324 5,162 2,581 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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