8,091,382

2 × 13² × 37 × 647

8,091,382 is even and not a perfect square. Its factorization is 2 × 13^2 × 37 × 647 and its 24 divisors sum to 13,518,576.

Prime Factor Structure

Factorization String 2 × 13^2 × 37 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,518,576

Proper Divisor Sum 5,427,194

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8091367 ← → #8091409

Radix Representation

Decimal	8091382
Binary	11110110111011011110110 (23 bits)
Octal	0o36673366
Hexadecimal	0x7B76F6

Divisor Catalog (24)

1 2 13 26 37 74 169 338 481 647 962 1,294 6,253 8,411 12,506 16,822 23,939 47,878 109,343 218,686 311,207 622,414 4,045,691 8,091,382

Collatz Trajectory (85 steps to reach 1)

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

8,091,382 4,045,691 12,137,074 6,068,537 18,205,612 9,102,806 4,551,403 13,654,210 6,827,105 20,481,316 10,240,658 5,120,329 15,360,988 7,680,494 3,840,247 11,520,742 5,760,371 17,281,114 8,640,557 25,921,672 12,960,836 6,480,418 3,240,209 9,720,628 4,860,314 2,430,157 7,290,472 3,645,236 1,822,618 911,309 2,733,928 1,366,964 683,482 341,741 1,025,224 512,612 256,306 128,153 384,460 192,230 96,115 288,346 144,173 432,520 216,260 108,130 54,065 162,196 81,098 40,549 121,648 60,824 30,412 15,206 7,603 22,810 11,405 34,216 17,108 8,554

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