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Atlas › Integer Profiles › Node 8,551,660

8,551,660

22 × 5 × 13 × 31 × 1061
Abundant Even Composite

8,551,660 factors as 2^2 × 5 × 13 × 31 × 1061. Its 48 positive divisors give a proper-divisor sum of 11,430,932, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 31 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,982,592
Proper Divisor Sum 11,430,932
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8551639 ← → #8551667

Radix Representation

Decimal 8551660
Binary 100000100111110011101100 (24 bits)
Octal 0o40476354
Hexadecimal 0x827CEC

Divisor Catalog (48)

1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1,061 1,612 2,015 2,122 4,030 4,244 5,305 8,060 10,610 13,793 21,220 27,586 32,891 55,172 65,782 68,965 131,564 137,930 164,455 275,860 328,910 427,583 657,820 855,166 1,710,332 2,137,915 4,275,830 8,551,660

Collatz Trajectory (75 steps to reach 1)

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

8,551,660 4,275,830 2,137,915 6,413,746 3,206,873 9,620,620 4,810,310 2,405,155 7,215,466 3,607,733 10,823,200 5,411,600 2,705,800 1,352,900 676,450 338,225 1,014,676 507,338 253,669 761,008 380,504 190,252 95,126 47,563 142,690 71,345 214,036 107,018 53,509 160,528 80,264 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7

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