8,009,250

2 × 3 × 5³ × 59 × 181

8,009,250 is even and not a perfect square. Its factorization is 2 × 3 × 5^3 × 59 × 181 and its 64 divisors sum to 20,442,240.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 59 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,442,240

Proper Divisor Sum 12,432,990

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8009237 ← → #8009291

Radix Representation

Decimal	8009250
Binary	11110100011011000100010 (23 bits)
Octal	0o36433042
Hexadecimal	0x7A3622

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 50 59 75 118 125 150 177 181 250 295 354 362 375 543 590 750 885 905 1,086 1,475 1,770 1,810 2,715 2,950 4,425 4,525 5,430 7,375 8,850 9,050 10,679 13,575 14,750 21,358 22,125 22,625 27,150 32,037 44,250 45,250 53,395 64,074 67,875 106,790 135,750 160,185 266,975 320,370 533,950 800,925 1,334,875

Collatz Trajectory (142 steps to reach 1)

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

8,009,250 4,004,625 12,013,876 6,006,938 3,003,469 9,010,408 4,505,204 2,252,602 1,126,301 3,378,904 1,689,452 844,726 422,363 1,267,090 633,545 1,900,636 950,318 475,159 1,425,478 712,739 2,138,218 1,069,109 3,207,328 1,603,664 801,832 400,916 200,458 100,229 300,688 150,344 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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