5,790,744

2³ × 3³ × 17 × 19 × 83

5,790,744 factors as 2^3 × 3^3 × 17 × 19 × 83. Its 128 positive divisors give a proper-divisor sum of 12,353,256, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 19 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 18,144,000

Proper Divisor Sum 12,353,256

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5790739 ← → #5790781

Radix Representation

Decimal	5790744
Binary	10110000101110000011000 (23 bits)
Octal	0o26056030
Hexadecimal	0x585C18

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 83 102 108 114 136 152 153 166 171 204 216 228 249 306 323 332 342 408 456 459 498 513 612 646 664 684 747 918 969 996 1,026 1,224 1,292 1,368 1,411 1,494 1,577 1,836

Collatz Trajectory (108 steps to reach 1)

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

5,790,744 2,895,372 1,447,686 723,843 2,171,530 1,085,765 3,257,296 1,628,648 814,324 407,162 203,581 610,744 305,372 152,686 76,343 229,030 114,515 343,546 171,773 515,320 257,660 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788 34,394 17,197 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021

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