λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,014,974

2,014,974

2 × 32 × 13 × 79 × 109
Abundant Even Composite

2,014,974 factors as 2 × 3^2 × 13 × 79 × 109. Its 48 positive divisors give a proper-divisor sum of 2,789,826, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 79 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,804,800
Proper Divisor Sum 2,789,826
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2014967 ← → #2014979

Radix Representation

Decimal 2014974
Binary 111101011111011111110 (21 bits)
Octal 0o7537376
Hexadecimal 0x1EBEFE

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 79 109 117 158 218 234 237 327 474 654 711 981 1,027 1,417 1,422 1,962 2,054 2,834 3,081 4,251 6,162 8,502 8,611 9,243 12,753 17,222 18,486 25,506 25,833 51,666 77,499 111,943 154,998 223,886 335,829 671,658 1,007,487 2,014,974

Collatz Trajectory (91 steps to reach 1)

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

2,014,974 1,007,487 3,022,462 1,511,231 4,533,694 2,266,847 6,800,542 3,400,271 10,200,814 5,100,407 15,301,222 7,650,611 22,951,834 11,475,917 34,427,752 17,213,876 8,606,938 4,303,469 12,910,408 6,455,204 3,227,602 1,613,801 4,841,404 2,420,702 1,210,351 3,631,054 1,815,527 5,446,582 2,723,291 8,169,874 4,084,937 12,254,812 6,127,406 3,063,703 9,191,110 4,595,555 13,786,666 6,893,333 20,680,000 10,340,000 5,170,000 2,585,000 1,292,500 646,250 323,125 969,376 484,688 242,344 121,172 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,014,973 Browse Full Index Next Integer #2,014,975 →