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Atlas › Integer Profiles › Node 2,010,210

2,010,210

2 × 3 × 5 × 37 × 1811
Abundant Even Composite

2,010,210 factors as 2 × 3 × 5 × 37 × 1811. Its 32 positive divisors give a proper-divisor sum of 2,947,422, so this integer is abundant. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 1811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,957,632
Proper Divisor Sum 2,947,422
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #2010191 ← → #2010221

Radix Representation

Decimal 2010210
Binary 111101010110001100010 (21 bits)
Octal 0o7526142
Hexadecimal 0x1EAC62

Divisor Catalog (32)

1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1,110 1,811 3,622 5,433 9,055 10,866 18,110 27,165 54,330 67,007 134,014 201,021 335,035 402,042 670,070 1,005,105 2,010,210

Collatz Trajectory (259 steps to reach 1)

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

2,010,210 1,005,105 3,015,316 1,507,658 753,829 2,261,488 1,130,744 565,372 282,686 141,343 424,030 212,015 636,046 318,023 954,070 477,035 1,431,106 715,553 2,146,660 1,073,330 536,665 1,609,996 804,998 402,499 1,207,498 603,749 1,811,248 905,624 452,812 226,406 113,203 339,610 169,805 509,416 254,708 127,354 63,677 191,032 95,516 47,758 23,879 71,638 35,819 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670 45,335 136,006 68,003 204,010 102,005 306,016 153,008 76,504

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