λ
Sigma Notebook

9,684,624

24 × 3 × 89 × 2267
Abundant Even Composite

9,684,624 is even and not a perfect square. Its factorization is 2^4 × 3 × 89 × 2267 and its 40 divisors sum to 25,310,880.

Prime Factor Structure

Factorization String 2^4 × 3 × 89 × 2267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,310,880
Proper Divisor Sum 15,626,256
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9684607 ← → #9684629

Radix Representation

Decimal 9684624
Binary 100100111100011010010000 (24 bits)
Octal 0o44743220
Hexadecimal 0x93C690

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1,068 1,424 2,136 2,267 4,272 4,534 6,801 9,068 13,602 18,136 27,204 36,272 54,408 108,816 201,763 403,526 605,289 807,052 1,210,578 1,614,104 2,421,156 3,228,208 4,842,312 9,684,624

Collatz Trajectory (75 steps to reach 1)

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

9,684,624 4,842,312 2,421,156 1,210,578 605,289 1,815,868 907,934 453,967 1,361,902 680,951 2,042,854 1,021,427 3,064,282 1,532,141 4,596,424 2,298,212 1,149,106 574,553 1,723,660 861,830 430,915 1,292,746 646,373 1,939,120 969,560 484,780 242,390 121,195 363,586 181,793 545,380 272,690 136,345 409,036 204,518 102,259 306,778 153,389 460,168 230,084 115,042 57,521 172,564 86,282 43,141 129,424 64,712 32,356 16,178 8,089 24,268 12,134 6,067 18,202 9,101 27,304 13,652 6,826 3,413 10,240

More profiles

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