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Atlas › Integer Profiles › Node 17,567,120

17,567,120

24 × 5 × 17 × 12917
Abundant Even Composite

17,567,120 factors as 2^4 × 5 × 17 × 12917. Its 40 positive divisors give a proper-divisor sum of 25,682,344, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 12917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 43,249,464
Proper Divisor Sum 25,682,344
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17567113 ← → #17567131

Radix Representation

Decimal 17567120
Binary 1000011000000110110010000 (25 bits)
Octal 0o103006620
Hexadecimal 0x10C0D90

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 12,917 25,834 51,668 64,585 103,336 129,170 206,672 219,589 258,340 439,178 516,680 878,356 1,033,360 1,097,945 1,756,712 2,195,890 3,513,424 4,391,780 8,783,560 17,567,120

Collatz Trajectory (182 steps to reach 1)

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

17,567,120 8,783,560 4,391,780 2,195,890 1,097,945 3,293,836 1,646,918 823,459 2,470,378 1,235,189 3,705,568 1,852,784 926,392 463,196 231,598 115,799 347,398 173,699 521,098 260,549 781,648 390,824 195,412 97,706 48,853 146,560 73,280 36,640 18,320 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

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