λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,022,012

3,022,012

22 × 7 × 37 × 2917
Abundant Even Composite

3,022,012 factors as 2^2 × 7 × 37 × 2917. Its 24 positive divisors give a proper-divisor sum of 3,187,492, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 37 × 2917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,209,504
Proper Divisor Sum 3,187,492
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #3021989 ← → #3022027

Radix Representation

Decimal 3022012
Binary 1011100001110010111100 (22 bits)
Octal 0o13416274
Hexadecimal 0x2E1CBC

Divisor Catalog (24)

1 2 4 7 14 28 37 74 148 259 518 1,036 2,917 5,834 11,668 20,419 40,838 81,676 107,929 215,858 431,716 755,503 1,511,006 3,022,012

Collatz Trajectory (195 steps to reach 1)

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

3,022,012 1,511,006 755,503 2,266,510 1,133,255 3,399,766 1,699,883 5,099,650 2,549,825 7,649,476 3,824,738 1,912,369 5,737,108 2,868,554 1,434,277 4,302,832 2,151,416 1,075,708 537,854 268,927 806,782 403,391 1,210,174 605,087 1,815,262 907,631 2,722,894 1,361,447 4,084,342 2,042,171 6,126,514 3,063,257 9,189,772 4,594,886 2,297,443 6,892,330 3,446,165 10,338,496 5,169,248 2,584,624 1,292,312 646,156 323,078 161,539 484,618 242,309 726,928 363,464 181,732 90,866 45,433 136,300 68,150 34,075 102,226 51,113 153,340 76,670 38,335 115,006

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,022,011 Browse Full Index Next Integer #3,022,013 →