λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,018,274

2,018,274

2 × 3 × 17 × 47 × 421
Abundant Even Composite

2,018,274 factors as 2 × 3 × 17 × 47 × 421. Its 32 positive divisors give a proper-divisor sum of 2,357,022, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 47 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,375,296
Proper Divisor Sum 2,357,022
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2018251 ← → #2018281

Radix Representation

Decimal 2018274
Binary 111101100101111100010 (21 bits)
Octal 0o7545742
Hexadecimal 0x1ECBE2

Divisor Catalog (32)

1 2 3 6 17 34 47 51 94 102 141 282 421 799 842 1,263 1,598 2,397 2,526 4,794 7,157 14,314 19,787 21,471 39,574 42,942 59,361 118,722 336,379 672,758 1,009,137 2,018,274

Collatz Trajectory (60 steps to reach 1)

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

2,018,274 1,009,137 3,027,412 1,513,706 756,853 2,270,560 1,135,280 567,640 283,820 141,910 70,955 212,866 106,433 319,300 159,650 79,825 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,018,273 Browse Full Index Next Integer #2,018,275 →