8,005,955

5 × 23 × 43 × 1619

8,005,955 factors as 5 × 23 × 43 × 1619. Its 16 positive divisors give a proper-divisor sum of 2,258,365, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 5 × 23 × 43 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,264,320

Proper Divisor Sum 2,258,365

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8005927 ← → #8005957

Radix Representation

Decimal	8005955
Binary	11110100010100101000011 (23 bits)
Octal	0o36424503
Hexadecimal	0x7A2943

Divisor Catalog (16)

1 5 23 43 115 215 989 1,619 4,945 8,095 37,237 69,617 186,185 348,085 1,601,191 8,005,955

Collatz Trajectory (93 steps to reach 1)

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

8,005,955 24,017,866 12,008,933 36,026,800 18,013,400 9,006,700 4,503,350 2,251,675 6,755,026 3,377,513 10,132,540 5,066,270 2,533,135 7,599,406 3,799,703 11,399,110 5,699,555 17,098,666 8,549,333 25,648,000 12,824,000 6,412,000 3,206,000 1,603,000 801,500 400,750 200,375 601,126 300,563 901,690 450,845 1,352,536 676,268 338,134 169,067 507,202 253,601 760,804 380,402 190,201 570,604 285,302 142,651 427,954 213,977 641,932 320,966 160,483 481,450 240,725 722,176 361,088 180,544 90,272 45,136 22,568 11,284 5,642 2,821 8,464

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