λ
Sigma Notebook

9,579,568

24 × 17 × 41 × 859
Abundant Even Composite

9,579,568 is even and not a perfect square. Its factorization is 2^4 × 17 × 41 × 859 and its 40 divisors sum to 20,154,960.

Prime Factor Structure

Factorization String 2^4 × 17 × 41 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,154,960
Proper Divisor Sum 10,575,392
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9579539 ← → #9579601

Radix Representation

Decimal 9579568
Binary 100100100010110000110000 (24 bits)
Octal 0o44426060
Hexadecimal 0x922C30

Divisor Catalog (40)

1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 859 1,394 1,718 2,788 3,436 5,576 6,872 11,152 13,744 14,603 29,206 35,219 58,412 70,438 116,824 140,876 233,648 281,752 563,504 598,723 1,197,446 2,394,892 4,789,784 9,579,568

Collatz Trajectory (101 steps to reach 1)

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

9,579,568 4,789,784 2,394,892 1,197,446 598,723 1,796,170 898,085 2,694,256 1,347,128 673,564 336,782 168,391 505,174 252,587 757,762 378,881 1,136,644 568,322 284,161 852,484 426,242 213,121 639,364 319,682 159,841 479,524 239,762 119,881 359,644 179,822 89,911 269,734 134,867 404,602 202,301 606,904 303,452 151,726 75,863 227,590 113,795 341,386 170,693 512,080 256,040 128,020 64,010 32,005 96,016 48,008 24,004 12,002 6,001 18,004 9,002 4,501 13,504 6,752 3,376 1,688

More profiles

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