4,021,641

3² × 13 × 37 × 929

4,021,641 is odd and not a perfect square. Its factorization is 3^2 × 13 × 37 × 929 and its 24 divisors sum to 6,431,880.

Prime Factor Structure

Factorization String 3^2 × 13 × 37 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,431,880

Proper Divisor Sum 2,410,239

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4021627 ← → #4021651

Radix Representation

Decimal	4021641
Binary	1111010101110110001001 (22 bits)
Octal	0o17256611
Hexadecimal	0x3D5D89

Divisor Catalog (24)

1 3 9 13 37 39 111 117 333 481 929 1,443 2,787 4,329 8,361 12,077 34,373 36,231 103,119 108,693 309,357 446,849 1,340,547 4,021,641

Collatz Trajectory (229 steps to reach 1)

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

4,021,641 12,064,924 6,032,462 3,016,231 9,048,694 4,524,347 13,573,042 6,786,521 20,359,564 10,179,782 5,089,891 15,269,674 7,634,837 22,904,512 11,452,256 5,726,128 2,863,064 1,431,532 715,766 357,883 1,073,650 536,825 1,610,476 805,238 402,619 1,207,858 603,929 1,811,788 905,894 452,947 1,358,842 679,421 2,038,264 1,019,132 509,566 254,783 764,350 382,175 1,146,526 573,263 1,719,790 859,895 2,579,686 1,289,843 3,869,530 1,934,765 5,804,296 2,902,148 1,451,074 725,537 2,176,612 1,088,306 544,153 1,632,460 816,230 408,115 1,224,346 612,173 1,836,520 918,260

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