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Atlas › Integer Profiles › Node 8,091,750

8,091,750

2 × 3 × 53 × 10789
Abundant Even Composite

8,091,750 factors as 2 × 3 × 5^3 × 10789. Its 32 positive divisors give a proper-divisor sum of 12,107,130, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 10789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,198,880
Proper Divisor Sum 12,107,130
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8091731 ← → #8091751

Radix Representation

Decimal 8091750
Binary 11110110111100001100110 (23 bits)
Octal 0o36674146
Hexadecimal 0x7B7866

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 10,789 21,578 32,367 53,945 64,734 107,890 161,835 269,725 323,670 539,450 809,175 1,348,625 1,618,350 2,697,250 4,045,875 8,091,750

Collatz Trajectory (186 steps to reach 1)

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

8,091,750 4,045,875 12,137,626 6,068,813 18,206,440 9,103,220 4,551,610 2,275,805 6,827,416 3,413,708 1,706,854 853,427 2,560,282 1,280,141 3,840,424 1,920,212 960,106 480,053 1,440,160 720,080 360,040 180,020 90,010 45,005 135,016 67,508 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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