λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,270,610

2,270,610

2 × 32 × 5 × 25229
Abundant Even Composite

2,270,610 factors as 2 × 3^2 × 5 × 25229. Its 24 positive divisors give a proper-divisor sum of 3,633,210, so this integer is abundant. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 25229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,903,820
Proper Divisor Sum 3,633,210
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2270599 ← → #2270627

Radix Representation

Decimal 2270610
Binary 1000101010010110010010 (22 bits)
Octal 0o10522622
Hexadecimal 0x22A592

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 25,229 50,458 75,687 126,145 151,374 227,061 252,290 378,435 454,122 756,870 1,135,305 2,270,610

Collatz Trajectory (254 steps to reach 1)

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

2,270,610 1,135,305 3,405,916 1,702,958 851,479 2,554,438 1,277,219 3,831,658 1,915,829 5,747,488 2,873,744 1,436,872 718,436 359,218 179,609 538,828 269,414 134,707 404,122 202,061 606,184 303,092 151,546 75,773 227,320 113,660 56,830 28,415 85,246 42,623 127,870 63,935 191,806 95,903 287,710 143,855 431,566 215,783 647,350 323,675 971,026 485,513 1,456,540 728,270 364,135 1,092,406 546,203 1,638,610 819,305 2,457,916 1,228,958 614,479 1,843,438 921,719 2,765,158 1,382,579 4,147,738 2,073,869 6,221,608 3,110,804

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,270,609 Browse Full Index Next Integer #2,270,611 →