8,090,186

2 × 13 × 61 × 5101

8,090,186 factors as 2 × 13 × 61 × 5101. Its 16 positive divisors give a proper-divisor sum of 5,195,422, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2 × 13 × 61 × 5101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,285,608

Proper Divisor Sum 5,195,422

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8090171 ← → #8090197

Radix Representation

Decimal	8090186
Binary	11110110111001001001010 (23 bits)
Octal	0o36671112
Hexadecimal	0x7B724A

Divisor Catalog (16)

1 2 13 26 61 122 793 1,586 5,101 10,202 66,313 132,626 311,161 622,322 4,045,093 8,090,186

Collatz Trajectory (85 steps to reach 1)

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

8,090,186 4,045,093 12,135,280 6,067,640 3,033,820 1,516,910 758,455 2,275,366 1,137,683 3,413,050 1,706,525 5,119,576 2,559,788 1,279,894 639,947 1,919,842 959,921 2,879,764 1,439,882 719,941 2,159,824 1,079,912 539,956 269,978 134,989 404,968 202,484 101,242 50,621 151,864 75,932 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

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