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Atlas › Integer Profiles › Node 8,944,520

8,944,520

23 × 5 × 13 × 103 × 167
Abundant Even Composite

8,944,520 factors as 2^3 × 5 × 13 × 103 × 167. Its 64 positive divisors give a proper-divisor sum of 13,070,200, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 103 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,014,720
Proper Divisor Sum 13,070,200
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8944517 ← → #8944531

Radix Representation

Decimal 8944520
Binary 100010000111101110001000 (24 bits)
Octal 0o42075610
Hexadecimal 0x887B88

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 167 206 260 334 412 515 520 668 824 835 1,030 1,336 1,339 1,670 2,060 2,171 2,678 3,340 4,120 4,342 5,356 6,680 6,695 8,684 10,712 10,855 13,390 17,201 17,368 21,710 26,780 34,402 43,420 53,560 68,804 86,005 86,840 137,608 172,010 223,613 344,020 447,226 688,040 894,452 1,118,065

Collatz Trajectory (119 steps to reach 1)

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

8,944,520 4,472,260 2,236,130 1,118,065 3,354,196 1,677,098 838,549 2,515,648 1,257,824 628,912 314,456 157,228 78,614 39,307 117,922 58,961 176,884 88,442 44,221 132,664 66,332 33,166 16,583 49,750 24,875 74,626 37,313 111,940 55,970 27,985 83,956 41,978 20,989 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554 59,777 179,332 89,666 44,833 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744

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