8,089,260

2² × 3 × 5 × 29 × 4649

8,089,260 has the prime decomposition 2^2 × 3 × 5 × 29 × 4649. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 4649

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,436,000

Proper Divisor Sum 15,346,740

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8089253 ← → #8089303

Radix Representation

Decimal	8089260
Binary	11110110110111010101100 (23 bits)
Octal	0o36667254
Hexadecimal	0x7B6EAC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1,740 4,649 9,298 13,947 18,596 23,245 27,894 46,490 55,788 69,735 92,980 134,821 139,470 269,642 278,940 404,463 539,284 674,105 808,926 1,348,210 1,617,852 2,022,315 2,696,420 4,044,630 8,089,260

Collatz Trajectory (85 steps to reach 1)

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

8,089,260 4,044,630 2,022,315 6,066,946 3,033,473 9,100,420 4,550,210 2,275,105 6,825,316 3,412,658 1,706,329 5,118,988 2,559,494 1,279,747 3,839,242 1,919,621 5,758,864 2,879,432 1,439,716 719,858 359,929 1,079,788 539,894 269,947 809,842 404,921 1,214,764 607,382 303,691 911,074 455,537 1,366,612 683,306 341,653 1,024,960 512,480 256,240 128,120 64,060 32,030 16,015 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552

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