λ
Modular Archive

2,009,142

2 × 32 × 232 × 211
Abundant Even Composite

The decimal integer 2,009,142 is 111101010100000110110 in binary (21 bits), 7524066 in octal and 1EA836 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2 × 3^2 × 23^2 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,572,204
Proper Divisor Sum 2,563,062
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2009113 ← → #2009167

Radix Representation

Decimal 2009142
Binary 111101010100000110110 (21 bits)
Octal 0o7524066
Hexadecimal 0x1EA836

Divisor Catalog (36)

1 2 3 6 9 18 23 46 69 138 207 211 414 422 529 633 1,058 1,266 1,587 1,899 3,174 3,798 4,761 4,853 9,522 9,706 14,559 29,118 43,677 87,354 111,619 223,238 334,857 669,714 1,004,571 2,009,142

Collatz Trajectory (259 steps to reach 1)

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

2,009,142 1,004,571 3,013,714 1,506,857 4,520,572 2,260,286 1,130,143 3,390,430 1,695,215 5,085,646 2,542,823 7,628,470 3,814,235 11,442,706 5,721,353 17,164,060 8,582,030 4,291,015 12,873,046 6,436,523 19,309,570 9,654,785 28,964,356 14,482,178 7,241,089 21,723,268 10,861,634 5,430,817 16,292,452 8,146,226 4,073,113 12,219,340 6,109,670 3,054,835 9,164,506 4,582,253 13,746,760 6,873,380 3,436,690 1,718,345 5,155,036 2,577,518 1,288,759 3,866,278 1,933,139 5,799,418 2,899,709 8,699,128 4,349,564 2,174,782 1,087,391 3,262,174 1,631,087 4,893,262 2,446,631 7,339,894 3,669,947 11,009,842 5,504,921 16,514,764

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