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Atlas › Integer Profiles › Node 2,010,870

2,010,870

2 × 32 × 5 × 22343
Abundant Even Composite

2,010,870 factors as 2 × 3^2 × 5 × 22343. Its 24 positive divisors give a proper-divisor sum of 3,217,626, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 22343
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,228,496
Proper Divisor Sum 3,217,626
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2010733 ← → #2010881

Radix Representation

Decimal 2010870
Binary 111101010111011110110 (21 bits)
Octal 0o7527366
Hexadecimal 0x1EAEF6

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 22,343 44,686 67,029 111,715 134,058 201,087 223,430 335,145 402,174 670,290 1,005,435 2,010,870

Collatz Trajectory (65 steps to reach 1)

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

2,010,870 1,005,435 3,016,306 1,508,153 4,524,460 2,262,230 1,131,115 3,393,346 1,696,673 5,090,020 2,545,010 1,272,505 3,817,516 1,908,758 954,379 2,863,138 1,431,569 4,294,708 2,147,354 1,073,677 3,221,032 1,610,516 805,258 402,629 1,207,888 603,944 301,972 150,986 75,493 226,480 113,240 56,620 28,310 14,155 42,466 21,233 63,700 31,850 15,925 47,776 23,888 11,944 5,972 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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