8,186,742

2 × 3² × 47 × 9677

8,186,742 factors as 2 × 3^2 × 47 × 9677. Its 24 positive divisors give a proper-divisor sum of 9,930,474, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 9677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,117,216

Proper Divisor Sum 9,930,474

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8186723 ← → #8186743

Radix Representation

Decimal	8186742
Binary	11111001110101101110110 (23 bits)
Octal	0o37165566
Hexadecimal	0x7CEB76

Divisor Catalog (24)

1 2 3 6 9 18 47 94 141 282 423 846 9,677 19,354 29,031 58,062 87,093 174,186 454,819 909,638 1,364,457 2,728,914 4,093,371 8,186,742

Collatz Trajectory (168 steps to reach 1)

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

8,186,742 4,093,371 12,280,114 6,140,057 18,420,172 9,210,086 4,605,043 13,815,130 6,907,565 20,722,696 10,361,348 5,180,674 2,590,337 7,771,012 3,885,506 1,942,753 5,828,260 2,914,130 1,457,065 4,371,196 2,185,598 1,092,799 3,278,398 1,639,199 4,917,598 2,458,799 7,376,398 3,688,199 11,064,598 5,532,299 16,596,898 8,298,449 24,895,348 12,447,674 6,223,837 18,671,512 9,335,756 4,667,878 2,333,939 7,001,818 3,500,909 10,502,728 5,251,364 2,625,682 1,312,841 3,938,524 1,969,262 984,631 2,953,894 1,476,947 4,430,842 2,215,421 6,646,264 3,323,132 1,661,566 830,783 2,492,350 1,246,175 3,738,526 1,869,263

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