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7,200,522

2 × 33 × 7 × 43 × 443
Abundant Even Composite

7,200,522 factors as 2 × 3^3 × 7 × 43 × 443. Its 64 positive divisors give a proper-divisor sum of 11,554,038, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 43 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,754,560
Proper Divisor Sum 11,554,038
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7200521 ← → #7200551

Radix Representation

Decimal 7200522
Binary 11011011101111100001010 (23 bits)
Octal 0o33357412
Hexadecimal 0x6DDF0A

Divisor Catalog (60 of 64)

1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 443 602 774 886 903 1,161 1,329 1,806 2,322 2,658 2,709 3,101 3,987 5,418 6,202 7,974 8,127 9,303 11,961 16,254 18,606 19,049 23,922 27,909 38,098 55,818 57,147 83,727 114,294 133,343 167,454 171,441 266,686 342,882 400,029 514,323 800,058 1,028,646

Collatz Trajectory (116 steps to reach 1)

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

7,200,522 3,600,261 10,800,784 5,400,392 2,700,196 1,350,098 675,049 2,025,148 1,012,574 506,287 1,518,862 759,431 2,278,294 1,139,147 3,417,442 1,708,721 5,126,164 2,563,082 1,281,541 3,844,624 1,922,312 961,156 480,578 240,289 720,868 360,434 180,217 540,652 270,326 135,163 405,490 202,745 608,236 304,118 152,059 456,178 228,089 684,268 342,134 171,067 513,202 256,601 769,804 384,902 192,451 577,354 288,677 866,032 433,016 216,508 108,254 54,127 162,382 81,191 243,574 121,787 365,362 182,681 548,044 274,022

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