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Atlas › Integer Profiles › Node 44,596,008

44,596,008

23 × 34 × 68821
Abundant Even Composite

44,596,008 factors as 2^3 × 3^4 × 68821. Its 40 positive divisors give a proper-divisor sum of 80,315,922, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 68821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 124,911,930
Proper Divisor Sum 80,315,922
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #44595953 ← → #44596009

Radix Representation

Decimal 44596008
Binary 10101010000111101100101000 (26 bits)
Octal 0o252075450
Hexadecimal 0x2A87B28

Divisor Catalog (40)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 68,821 137,642 206,463 275,284 412,926 550,568 619,389 825,852 1,238,778 1,651,704 1,858,167 2,477,556 3,716,334 4,955,112 5,574,501 7,432,668 11,149,002 14,865,336 22,298,004 44,596,008

Collatz Trajectory (129 steps to reach 1)

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

44,596,008 22,298,004 11,149,002 5,574,501 16,723,504 8,361,752 4,180,876 2,090,438 1,045,219 3,135,658 1,567,829 4,703,488 2,351,744 1,175,872 587,936 293,968 146,984 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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