8,091,344

2⁴ × 505709

8,091,344 factors as 2^4 × 505709. Its 10 positive divisors give a proper-divisor sum of 7,585,666, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 505709

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 15,677,010

Proper Divisor Sum 7,585,666

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8091289 ← → #8091361

Radix Representation

Decimal	8091344
Binary	11110110111011011010000 (23 bits)
Octal	0o36673320
Hexadecimal	0x7B76D0

Divisor Catalog (10)

1 2 4 8 16 505,709 1,011,418 2,022,836 4,045,672 8,091,344

Collatz Trajectory (186 steps to reach 1)

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

8,091,344 4,045,672 2,022,836 1,011,418 505,709 1,517,128 758,564 379,282 189,641 568,924 284,462 142,231 426,694 213,347 640,042 320,021 960,064 480,032 240,016 120,008 60,004 30,002 15,001 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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