λ
Sigma Notebook

8,843,240

23 × 5 × 7 × 31583
Abundant Even Composite

8,843,240 is even and not a perfect square. Its factorization is 2^3 × 5 × 7 × 31583 and its 32 divisors sum to 22,740,480.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 31583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,740,480
Proper Divisor Sum 13,897,240
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8843183 ← → #8843269

Radix Representation

Decimal 8843240
Binary 100001101110111111101000 (24 bits)
Octal 0o41567750
Hexadecimal 0x86EFE8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 31,583 63,166 126,332 157,915 221,081 252,664 315,830 442,162 631,660 884,324 1,105,405 1,263,320 1,768,648 2,210,810 4,421,620 8,843,240

Collatz Trajectory (93 steps to reach 1)

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

8,843,240 4,421,620 2,210,810 1,105,405 3,316,216 1,658,108 829,054 414,527 1,243,582 621,791 1,865,374 932,687 2,798,062 1,399,031 4,197,094 2,098,547 6,295,642 3,147,821 9,443,464 4,721,732 2,360,866 1,180,433 3,541,300 1,770,650 885,325 2,655,976 1,327,988 663,994 331,997 995,992 497,996 248,998 124,499 373,498 186,749 560,248 280,124 140,062 70,031 210,094 105,047 315,142 157,571 472,714 236,357 709,072 354,536 177,268 88,634 44,317 132,952 66,476 33,238 16,619 49,858 24,929 74,788 37,394 18,697 56,092

More profiles

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