8,084,584

2³ × 863 × 1171

8,084,584 factors as 2^3 × 863 × 1171. Its 16 positive divisors give a proper-divisor sum of 7,104,536, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 863 × 1171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,189,120

Proper Divisor Sum 7,104,536

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8084581 ← → #8084597

Radix Representation

Decimal	8084584
Binary	11110110101110001101000 (23 bits)
Octal	0o36656150
Hexadecimal	0x7B5C68

Divisor Catalog (16)

1 2 4 8 863 1,171 1,726 2,342 3,452 4,684 6,904 9,368 1,010,573 2,021,146 4,042,292 8,084,584

Collatz Trajectory (199 steps to reach 1)

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

8,084,584 4,042,292 2,021,146 1,010,573 3,031,720 1,515,860 757,930 378,965 1,136,896 568,448 284,224 142,112 71,056 35,528 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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