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Atlas › Integer Profiles › Node 7,667,170

7,667,170

2 × 5 × 7 × 172 × 379
Abundant Even Composite

7,667,170 factors as 2 × 5 × 7 × 17^2 × 379. Its 48 positive divisors give a proper-divisor sum of 9,131,870, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17^2 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,799,040
Proper Divisor Sum 9,131,870
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7667159 ← → #7667173

Radix Representation

Decimal 7667170
Binary 11101001111110111100010 (23 bits)
Octal 0o35176742
Hexadecimal 0x74FDE2

Divisor Catalog (48)

1 2 5 7 10 14 17 34 35 70 85 119 170 238 289 379 578 595 758 1,190 1,445 1,895 2,023 2,653 2,890 3,790 4,046 5,306 6,443 10,115 12,886 13,265 20,230 26,530 32,215 45,101 64,430 90,202 109,531 219,062 225,505 451,010 547,655 766,717 1,095,310 1,533,434 3,833,585 7,667,170

Collatz Trajectory (80 steps to reach 1)

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

7,667,170 3,833,585 11,500,756 5,750,378 2,875,189 8,625,568 4,312,784 2,156,392 1,078,196 539,098 269,549 808,648 404,324 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38

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