λ
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Atlas › Integer Profiles › Node 8,329,286

8,329,286

2 × 7 × 17 × 79 × 443
Deficient Even Composite

8,329,286 factors as 2 × 7 × 17 × 79 × 443. Its 32 positive divisors give a proper-divisor sum of 7,015,354, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 79 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,344,640
Proper Divisor Sum 7,015,354
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8329267 ← → #8329309

Radix Representation

Decimal 8329286
Binary 11111110001100001000110 (23 bits)
Octal 0o37614106
Hexadecimal 0x7F1846

Divisor Catalog (32)

1 2 7 14 17 34 79 119 158 238 443 553 886 1,106 1,343 2,686 3,101 6,202 7,531 9,401 15,062 18,802 34,997 52,717 69,994 105,434 244,979 489,958 594,949 1,189,898 4,164,643 8,329,286

Collatz Trajectory (137 steps to reach 1)

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

8,329,286 4,164,643 12,493,930 6,246,965 18,740,896 9,370,448 4,685,224 2,342,612 1,171,306 585,653 1,756,960 878,480 439,240 219,620 109,810 54,905 164,716 82,358 41,179 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852

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