8,066,500

2² × 5³ × 13 × 17 × 73

8,066,500 factors as 2^2 × 5^3 × 13 × 17 × 73. Its 96 positive divisors give a proper-divisor sum of 12,297,116, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 13 × 17 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 20,363,616

Proper Divisor Sum 12,297,116

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8066497 ← → #8066501

Radix Representation

Decimal	8066500
Binary	11110110001010111000100 (23 bits)
Octal	0o36612704
Hexadecimal	0x7B15C4

Divisor Catalog (60 of 96)

1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 73 85 100 125 130 146 170 221 250 260 292 325 340 365 425 442 500 650 730 850 884 949 1,105 1,241 1,300 1,460 1,625 1,700 1,825 1,898 2,125 2,210 2,482 3,250 3,650 3,796 4,250 4,420 4,745 4,964 5,525 6,205 6,500 7,300 8,500

Collatz Trajectory (137 steps to reach 1)

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

8,066,500 4,033,250 2,016,625 6,049,876 3,024,938 1,512,469 4,537,408 2,268,704 1,134,352 567,176 283,588 141,794 70,897 212,692 106,346 53,173 159,520 79,760 39,880 19,940 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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