7,981,029

3² × 7 × 126683

7,981,029 factors as 3^2 × 7 × 126683. Its 12 positive divisors give a proper-divisor sum of 5,194,107, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 126683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,175,136

Proper Divisor Sum 5,194,107

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7981021 ← → #7981033

Radix Representation

Decimal	7981029
Binary	11110011100011111100101 (23 bits)
Octal	0o36343745
Hexadecimal	0x79C7E5

Divisor Catalog (12)

1 3 7 9 21 63 126,683 380,049 886,781 1,140,147 2,660,343 7,981,029

Collatz Trajectory (248 steps to reach 1)

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

7,981,029 23,943,088 11,971,544 5,985,772 2,992,886 1,496,443 4,489,330 2,244,665 6,733,996 3,366,998 1,683,499 5,050,498 2,525,249 7,575,748 3,787,874 1,893,937 5,681,812 2,840,906 1,420,453 4,261,360 2,130,680 1,065,340 532,670 266,335 799,006 399,503 1,198,510 599,255 1,797,766 898,883 2,696,650 1,348,325 4,044,976 2,022,488 1,011,244 505,622 252,811 758,434 379,217 1,137,652 568,826 284,413 853,240 426,620 213,310 106,655 319,966 159,983 479,950 239,975 719,926 359,963 1,079,890 539,945 1,619,836 809,918 404,959 1,214,878 607,439 1,822,318

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