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8,809,600

27 × 52 × 2753
Abundant Even Composite

8,809,600 factors as 2^7 × 5^2 × 2753. Its 48 positive divisors give a proper-divisor sum of 12,960,770, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,770,370
Proper Divisor Sum 12,960,770
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8809573 ← → #8809613

Radix Representation

Decimal 8809600
Binary 100001100110110010000000 (24 bits)
Octal 0o41466200
Hexadecimal 0x866C80

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1,600 2,753 3,200 5,506 11,012 13,765 22,024 27,530 44,048 55,060 68,825 88,096 110,120 137,650 176,192 220,240 275,300 352,384 440,480 550,600 880,960 1,101,200 1,761,920 2,202,400 4,404,800 8,809,600

Collatz Trajectory (181 steps to reach 1)

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

8,809,600 4,404,800 2,202,400 1,101,200 550,600 275,300 137,650 68,825 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553

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