3,589,128

2³ × 3² × 79 × 631

3,589,128 has the prime decomposition 2^3 × 3^2 × 79 × 631. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 79 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,859,200

Proper Divisor Sum 6,270,072

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3589073 ← → #3589133

Radix Representation

Decimal	3589128
Binary	1101101100010000001000 (22 bits)
Octal	0o15542010
Hexadecimal	0x36C408

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 631 632 711 948 1,262 1,422 1,893 1,896 2,524 2,844 3,786 5,048 5,679 5,688 7,572 11,358 15,144 22,716 45,432 49,849 99,698 149,547 199,396 299,094 398,792 448,641 598,188 897,282 1,196,376 1,794,564 3,589,128

Collatz Trajectory (234 steps to reach 1)

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

3,589,128 1,794,564 897,282 448,641 1,345,924 672,962 336,481 1,009,444 504,722 252,361 757,084 378,542 189,271 567,814 283,907 851,722 425,861 1,277,584 638,792 319,396 159,698 79,849 239,548 119,774 59,887 179,662 89,831 269,494 134,747 404,242 202,121 606,364 303,182 151,591 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894 71,947 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706 30,353 91,060 45,530 22,765

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