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3,301,280

25 × 5 × 47 × 439
Abundant Even Composite

3,301,280 factors as 2^5 × 5 × 47 × 439. Its 48 positive divisors give a proper-divisor sum of 4,682,080, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 47 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 4,682,080
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3301267 ← → #3301303

Radix Representation

Decimal 3301280
Binary 1100100101111110100000 (22 bits)
Octal 0o14457640
Hexadecimal 0x325FA0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 439 470 752 878 940 1,504 1,756 1,880 2,195 3,512 3,760 4,390 7,024 7,520 8,780 14,048 17,560 20,633 35,120 41,266 70,240 82,532 103,165 165,064 206,330 330,128 412,660 660,256 825,320 1,650,640 3,301,280

Collatz Trajectory (84 steps to reach 1)

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

3,301,280 1,650,640 825,320 412,660 206,330 103,165 309,496 154,748 77,374 38,687 116,062 58,031 174,094 87,047 261,142 130,571 391,714 195,857 587,572 293,786 146,893 440,680 220,340 110,170 55,085 165,256 82,628 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98

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