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4,135,080

23 × 3 × 5 × 17 × 2027
Abundant Even Composite

4,135,080 factors as 2^3 × 3 × 5 × 17 × 2027. Its 64 positive divisors give a proper-divisor sum of 9,006,360, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 2027
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,141,440
Proper Divisor Sum 9,006,360
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4135069 ← → #4135093

Radix Representation

Decimal 4135080
Binary 1111110001100010101000 (22 bits)
Octal 0o17614250
Hexadecimal 0x3F18A8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1,020 2,027 2,040 4,054 6,081 8,108 10,135 12,162 16,216 20,270 24,324 30,405 34,459 40,540 48,648 60,810 68,918 81,080 103,377 121,620 137,836 172,295 206,754 243,240 275,672 344,590 413,508 516,885 689,180 827,016

Collatz Trajectory (198 steps to reach 1)

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

4,135,080 2,067,540 1,033,770 516,885 1,550,656 775,328 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462

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