λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,555,220

8,555,220

22 × 34 × 5 × 5281
Abundant Even Composite

8,555,220 factors as 2^2 × 3^4 × 5 × 5281. Its 60 positive divisors give a proper-divisor sum of 18,287,904, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 5281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 26,843,124
Proper Divisor Sum 18,287,904
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8555191 ← → #8555221

Radix Representation

Decimal 8555220
Binary 100000101000101011010100 (24 bits)
Octal 0o40505324
Hexadecimal 0x828AD4

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 5,281 10,562 15,843 21,124 26,405 31,686 47,529 52,810 63,372 79,215 95,058 105,620 142,587 158,430 190,116 237,645 285,174 316,860 427,761 475,290 570,348 712,935 855,522 950,580 1,425,870 1,711,044 2,138,805 2,851,740 4,277,610 8,555,220

Collatz Trajectory (98 steps to reach 1)

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

8,555,220 4,277,610 2,138,805 6,416,416 3,208,208 1,604,104 802,052 401,026 200,513 601,540 300,770 150,385 451,156 225,578 112,789 338,368 169,184 84,592 42,296 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,555,219 Browse Full Index Next Integer #8,555,221 →