λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,786,018

33,786,018

2 × 33 × 7 × 89381
Abundant Even Composite

33,786,018 factors as 2 × 3^3 × 7 × 89381. Its 32 positive divisors give a proper-divisor sum of 52,020,702, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 89381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,806,720
Proper Divisor Sum 52,020,702
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #33786017 ← → #33786019

Radix Representation

Decimal 33786018
Binary 10000000111000100010100010 (26 bits)
Octal 0o200704242
Hexadecimal 0x20388A2

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 89,381 178,762 268,143 536,286 625,667 804,429 1,251,334 1,608,858 1,877,001 2,413,287 3,754,002 4,826,574 5,631,003 11,262,006 16,893,009 33,786,018

Collatz Trajectory (183 steps to reach 1)

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

33,786,018 16,893,009 50,679,028 25,339,514 12,669,757 38,009,272 19,004,636 9,502,318 4,751,159 14,253,478 7,126,739 21,380,218 10,690,109 32,070,328 16,035,164 8,017,582 4,008,791 12,026,374 6,013,187 18,039,562 9,019,781 27,059,344 13,529,672 6,764,836 3,382,418 1,691,209 5,073,628 2,536,814 1,268,407 3,805,222 1,902,611 5,707,834 2,853,917 8,561,752 4,280,876 2,140,438 1,070,219 3,210,658 1,605,329 4,815,988 2,407,994 1,203,997 3,611,992 1,805,996 902,998 451,499 1,354,498 677,249 2,031,748 1,015,874 507,937 1,523,812 761,906 380,953 1,142,860 571,430 285,715 857,146 428,573 1,285,720

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #33,786,017 Browse Full Index Next Integer #33,786,019 →