43,802,423

7² × 43 × 20789

43,802,423 factors as 7^2 × 43 × 20789. Its 12 positive divisors give a proper-divisor sum of 8,338,897, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 7^2 × 43 × 20789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 52,141,320

Proper Divisor Sum 8,338,897

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #43802417 ← → #43802431

Radix Representation

Decimal	43802423
Binary	10100111000101111100110111 (26 bits)
Octal	0o247057467
Hexadecimal	0x29C5F37

Divisor Catalog (12)

1 7 43 49 301 2,107 20,789 145,523 893,927 1,018,661 6,257,489 43,802,423

Collatz Trajectory (235 steps to reach 1)

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

43,802,423 131,407,270 65,703,635 197,110,906 98,555,453 295,666,360 147,833,180 73,916,590 36,958,295 110,874,886 55,437,443 166,312,330 83,156,165 249,468,496 124,734,248 62,367,124 31,183,562 15,591,781 46,775,344 23,387,672 11,693,836 5,846,918 2,923,459 8,770,378 4,385,189 13,155,568 6,577,784 3,288,892 1,644,446 822,223 2,466,670 1,233,335 3,700,006 1,850,003 5,550,010 2,775,005 8,325,016 4,162,508 2,081,254 1,040,627 3,121,882 1,560,941 4,682,824 2,341,412 1,170,706 585,353 1,756,060 878,030 439,015 1,317,046 658,523 1,975,570 987,785 2,963,356 1,481,678 740,839 2,222,518 1,111,259 3,333,778 1,666,889

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