8,091,330

2 × 3 × 5 × 13 × 20747

8,091,330 factors as 2 × 3 × 5 × 13 × 20747. Its 32 positive divisors give a proper-divisor sum of 12,822,654, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 20747

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,913,984

Proper Divisor Sum 12,822,654

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8091289 ← → #8091361

Radix Representation

Decimal	8091330
Binary	11110110111011011000010 (23 bits)
Octal	0o36673302
Hexadecimal	0x7B76C2

Divisor Catalog (32)

Collatz Trajectory (155 steps to reach 1)

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

8,091,330 4,045,665 12,136,996 6,068,498 3,034,249 9,102,748 4,551,374 2,275,687 6,827,062 3,413,531 10,240,594 5,120,297 15,360,892 7,680,446 3,840,223 11,520,670 5,760,335 17,281,006 8,640,503 25,921,510 12,960,755 38,882,266 19,441,133 58,323,400 29,161,700 14,580,850 7,290,425 21,871,276 10,935,638 5,467,819 16,403,458 8,201,729 24,605,188 12,302,594 6,151,297 18,453,892 9,226,946 4,613,473 13,840,420 6,920,210 3,460,105 10,380,316 5,190,158 2,595,079 7,785,238 3,892,619 11,677,858 5,838,929 17,516,788 8,758,394 4,379,197 13,137,592 6,568,796 3,284,398 1,642,199 4,926,598 2,463,299 7,389,898 3,694,949 11,084,848

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