λ
Modular Archive

4,038,090

2 × 3 × 5 × 72 × 41 × 67
Abundant Even Composite

The decimal integer 4,038,090 is 1111011001110111001010 in binary (22 bits), 17316712 in octal and 3D9DCA in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 41 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 11,721,024
Proper Divisor Sum 7,682,934
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4038079 ← → #4038113

Radix Representation

Decimal 4038090
Binary 1111011001110111001010 (22 bits)
Octal 0o17316712
Hexadecimal 0x3D9DCA

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 67 70 82 98 105 123 134 147 201 205 210 245 246 287 294 335 402 410 469 490 574 615 670 735 861 938 1,005 1,230 1,407 1,435 1,470 1,722 2,009 2,010 2,345 2,747 2,814 2,870 3,283 4,018 4,305 4,690 5,494 6,027 6,566

Collatz Trajectory (136 steps to reach 1)

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

4,038,090 2,019,045 6,057,136 3,028,568 1,514,284 757,142 378,571 1,135,714 567,857 1,703,572 851,786 425,893 1,277,680 638,840 319,420 159,710 79,855 239,566 119,783 359,350 179,675 539,026 269,513 808,540 404,270 202,135 606,406 303,203 909,610 454,805 1,364,416 682,208 341,104 170,552 85,276 42,638 21,319 63,958 31,979 95,938 47,969 143,908 71,954 35,977 107,932 53,966 26,983 80,950 40,475 121,426 60,713 182,140 91,070 45,535 136,606 68,303 204,910 102,455 307,366 153,683

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