λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,550,066

8,550,066

2 × 3 × 7 × 23 × 53 × 167
Abundant Even Composite

8,550,066 factors as 2 × 3 × 7 × 23 × 53 × 167. Its 64 positive divisors give a proper-divisor sum of 12,351,822, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 53 × 167
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,901,888
Proper Divisor Sum 12,351,822
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8550053 ← → #8550107

Radix Representation

Decimal 8550066
Binary 100000100111011010110010 (24 bits)
Octal 0o40473262
Hexadecimal 0x8276B2

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 23 42 46 53 69 106 138 159 161 167 318 322 334 371 483 501 742 966 1,002 1,113 1,169 1,219 2,226 2,338 2,438 3,507 3,657 3,841 7,014 7,314 7,682 8,533 8,851 11,523 17,066 17,702 23,046 25,599 26,553 26,887 51,198 53,106 53,774 61,957 80,661 123,914 161,322 185,871 203,573 371,742 407,146 610,719 1,221,438

Collatz Trajectory (243 steps to reach 1)

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

8,550,066 4,275,033 12,825,100 6,412,550 3,206,275 9,618,826 4,809,413 14,428,240 7,214,120 3,607,060 1,803,530 901,765 2,705,296 1,352,648 676,324 338,162 169,081 507,244 253,622 126,811 380,434 190,217 570,652 285,326 142,663 427,990 213,995 641,986 320,993 962,980 481,490 240,745 722,236 361,118 180,559 541,678 270,839 812,518 406,259 1,218,778 609,389 1,828,168 914,084 457,042 228,521 685,564 342,782 171,391 514,174 257,087 771,262 385,631 1,156,894 578,447 1,735,342 867,671 2,603,014 1,301,507 3,904,522 1,952,261

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,550,065 Browse Full Index Next Integer #8,550,067 →