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4,180,980

22 × 3 × 5 × 17 × 4099
Abundant Even Composite

4,180,980 factors as 2^2 × 3 × 5 × 17 × 4099. Its 48 positive divisors give a proper-divisor sum of 8,217,420, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 4099
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,398,400
Proper Divisor Sum 8,217,420
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4180961 ← → #4180987

Radix Representation

Decimal 4180980
Binary 1111111100101111110100 (22 bits)
Octal 0o17745764
Hexadecimal 0x3FCBF4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 4,099 8,198 12,297 16,396 20,495 24,594 40,990 49,188 61,485 69,683 81,980 122,970 139,366 209,049 245,940 278,732 348,415 418,098 696,830 836,196 1,045,245 1,393,660 2,090,490 4,180,980

Collatz Trajectory (154 steps to reach 1)

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

4,180,980 2,090,490 1,045,245 3,135,736 1,567,868 783,934 391,967 1,175,902 587,951 1,763,854 881,927 2,645,782 1,322,891 3,968,674 1,984,337 5,953,012 2,976,506 1,488,253 4,464,760 2,232,380 1,116,190 558,095 1,674,286 837,143 2,511,430 1,255,715 3,767,146 1,883,573 5,650,720 2,825,360 1,412,680 706,340 353,170 176,585 529,756 264,878 132,439 397,318 198,659 595,978 297,989 893,968 446,984 223,492 111,746 55,873 167,620 83,810 41,905 125,716 62,858 31,429 94,288 47,144 23,572 11,786 5,893 17,680 8,840 4,420

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