8,091,720

2³ × 3² × 5 × 7 × 13² × 19

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 13^2 × 19

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 288

Divisor Sum (σ) 34,257,600

Proper Divisor Sum 26,165,880

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091703 ← → #8091731

Radix Representation

Decimal	8091720
Binary	11110110111100001001000 (23 bits)
Octal	0o36674110
Hexadecimal	0x7B7848

Divisor Catalog (60 of 288)

1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 19 20 21 24 26 28 30 35 36 38 39 40 42 45 52 56 57 60 63 65 70 72 76 78 84 90 91 95 104 105 114 117 120 126 130 133 140 152 156 168 169 171 180 182 190

Collatz Trajectory (155 steps to reach 1)

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

8,091,720 4,045,860 2,022,930 1,011,465 3,034,396 1,517,198 758,599 2,275,798 1,137,899 3,413,698 1,706,849 5,120,548 2,560,274 1,280,137 3,840,412 1,920,206 960,103 2,880,310 1,440,155 4,320,466 2,160,233 6,480,700 3,240,350 1,620,175 4,860,526 2,430,263 7,290,790 3,645,395 10,936,186 5,468,093 16,404,280 8,202,140 4,101,070 2,050,535 6,151,606 3,075,803 9,227,410 4,613,705 13,841,116 6,920,558 3,460,279 10,380,838 5,190,419 15,571,258 7,785,629 23,356,888 11,678,444 5,839,222 2,919,611 8,758,834 4,379,417 13,138,252 6,569,126 3,284,563 9,853,690 4,926,845 14,780,536 7,390,268 3,695,134 1,847,567

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