λ
Sigma Notebook

8,284,741

19 × 271 × 1609
Deficient Odd Composite

8,284,741 is odd and not a perfect square. Its factorization is 19 × 271 × 1609 and its 8 divisors sum to 8,758,400.

Prime Factor Structure

Factorization String 19 × 271 × 1609
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,758,400
Proper Divisor Sum 473,659
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8284739 ← → #8284823

Radix Representation

Decimal 8284741
Binary 11111100110101001000101 (23 bits)
Octal 0o37465105
Hexadecimal 0x7E6A45

Divisor Catalog (8)

1 19 271 1,609 5,149 30,571 436,039 8,284,741

Collatz Trajectory (261 steps to reach 1)

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

8,284,741 24,854,224 12,427,112 6,213,556 3,106,778 1,553,389 4,660,168 2,330,084 1,165,042 582,521 1,747,564 873,782 436,891 1,310,674 655,337 1,966,012 983,006 491,503 1,474,510 737,255 2,211,766 1,105,883 3,317,650 1,658,825 4,976,476 2,488,238 1,244,119 3,732,358 1,866,179 5,598,538 2,799,269 8,397,808 4,198,904 2,099,452 1,049,726 524,863 1,574,590 787,295 2,361,886 1,180,943 3,542,830 1,771,415 5,314,246 2,657,123 7,971,370 3,985,685 11,957,056 5,978,528 2,989,264 1,494,632 747,316 373,658 186,829 560,488 280,244 140,122 70,061 210,184 105,092 52,546

More profiles

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