5,788,962

2 × 3³ × 23 × 59 × 79

5,788,962 factors as 2 × 3^3 × 23 × 59 × 79. Its 64 positive divisors give a proper-divisor sum of 8,035,038, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 59 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,824,000

Proper Divisor Sum 8,035,038

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5788949 ← → #5788963

Radix Representation

Decimal	5788962
Binary	10110000101010100100010 (23 bits)
Octal	0o26052442
Hexadecimal	0x585522

Divisor Catalog (60 of 64)

1 2 3 6 9 18 23 27 46 54 59 69 79 118 138 158 177 207 237 354 414 474 531 621 711 1,062 1,242 1,357 1,422 1,593 1,817 2,133 2,714 3,186 3,634 4,071 4,266 4,661 5,451 8,142 9,322 10,902 12,213 13,983 16,353 24,426 27,966 32,706 36,639 41,949 49,059 73,278 83,898 98,118 107,203 125,847 214,406 251,694 321,609 643,218

Collatz Trajectory (183 steps to reach 1)

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

5,788,962 2,894,481 8,683,444 4,341,722 2,170,861 6,512,584 3,256,292 1,628,146 814,073 2,442,220 1,221,110 610,555 1,831,666 915,833 2,747,500 1,373,750 686,875 2,060,626 1,030,313 3,090,940 1,545,470 772,735 2,318,206 1,159,103 3,477,310 1,738,655 5,215,966 2,607,983 7,823,950 3,911,975 11,735,926 5,867,963 17,603,890 8,801,945 26,405,836 13,202,918 6,601,459 19,804,378 9,902,189 29,706,568 14,853,284 7,426,642 3,713,321 11,139,964 5,569,982 2,784,991 8,354,974 4,177,487 12,532,462 6,266,231 18,798,694 9,399,347 28,198,042 14,099,021 42,297,064 21,148,532 10,574,266 5,287,133 15,861,400 7,930,700

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