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Atlas › Integer Profiles › Node 2,726,670

2,726,670

2 × 3 × 5 × 97 × 937
Abundant Even Composite

2,726,670 factors as 2 × 3 × 5 × 97 × 937. Its 32 positive divisors give a proper-divisor sum of 3,891,858, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 97 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,618,528
Proper Divisor Sum 3,891,858
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2726657 ← → #2726683

Radix Representation

Decimal 2726670
Binary 1010011001101100001110 (22 bits)
Octal 0o12315416
Hexadecimal 0x299B0E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 97 194 291 485 582 937 970 1,455 1,874 2,811 2,910 4,685 5,622 9,370 14,055 28,110 90,889 181,778 272,667 454,445 545,334 908,890 1,363,335 2,726,670

Collatz Trajectory (107 steps to reach 1)

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

2,726,670 1,363,335 4,090,006 2,045,003 6,135,010 3,067,505 9,202,516 4,601,258 2,300,629 6,901,888 3,450,944 1,725,472 862,736 431,368 215,684 107,842 53,921 161,764 80,882 40,441 121,324 60,662 30,331 90,994 45,497 136,492 68,246 34,123 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481

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