43,802,424

2³ × 3³ × 149 × 1361

43,802,424 factors as 2^3 × 3^3 × 149 × 1361. Its 64 positive divisors give a proper-divisor sum of 78,777,576, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 149 × 1361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 122,580,000

Proper Divisor Sum 78,777,576

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #43802417 ← → #43802431

Radix Representation

Decimal	43802424
Binary	10100111000101111100111000 (26 bits)
Octal	0o247057470
Hexadecimal	0x29C5F38

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1,192 1,341 1,361 1,788 2,682 2,722 3,576 4,023 4,083 5,364 5,444 8,046 8,166 10,728 10,888 12,249 16,092 16,332 24,498 32,184 32,664 36,747 48,996 73,494 97,992 146,988 202,789 293,976 405,578 608,367 811,156 1,216,734 1,622,312 1,825,101 2,433,468 3,650,202 4,866,936 5,475,303 7,300,404

Collatz Trajectory (111 steps to reach 1)

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

43,802,424 21,901,212 10,950,606 5,475,303 16,425,910 8,212,955 24,638,866 12,319,433 36,958,300 18,479,150 9,239,575 27,718,726 13,859,363 41,578,090 20,789,045 62,367,136 31,183,568 15,591,784 7,795,892 3,897,946 1,948,973 5,846,920 2,923,460 1,461,730 730,865 2,192,596 1,096,298 548,149 1,644,448 822,224 411,112 205,556 102,778 51,389 154,168 77,084 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307

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