λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,591,284

52,591,284

22 × 32 × 733 × 1993
Abundant Even Composite

52,591,284 factors as 2^2 × 3^2 × 733 × 1993. Its 36 positive divisors give a proper-divisor sum of 80,595,952, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 733 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 133,187,236
Proper Divisor Sum 80,595,952
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52591267 ← → #52591289

Radix Representation

Decimal 52591284
Binary 11001000100111101010110100 (26 bits)
Octal 0o310475264
Hexadecimal 0x3227AB4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 733 1,466 1,993 2,199 2,932 3,986 4,398 5,979 6,597 7,972 8,796 11,958 13,194 17,937 23,916 26,388 35,874 71,748 1,460,869 2,921,738 4,382,607 5,843,476 8,765,214 13,147,821 17,530,428 26,295,642 52,591,284

Collatz Trajectory (225 steps to reach 1)

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

52,591,284 26,295,642 13,147,821 39,443,464 19,721,732 9,860,866 4,930,433 14,791,300 7,395,650 3,697,825 11,093,476 5,546,738 2,773,369 8,320,108 4,160,054 2,080,027 6,240,082 3,120,041 9,360,124 4,680,062 2,340,031 7,020,094 3,510,047 10,530,142 5,265,071 15,795,214 7,897,607 23,692,822 11,846,411 35,539,234 17,769,617 53,308,852 26,654,426 13,327,213 39,981,640 19,990,820 9,995,410 4,997,705 14,993,116 7,496,558 3,748,279 11,244,838 5,622,419 16,867,258 8,433,629 25,300,888 12,650,444 6,325,222 3,162,611 9,487,834 4,743,917 14,231,752 7,115,876 3,557,938 1,778,969 5,336,908 2,668,454 1,334,227 4,002,682 2,001,341

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #52,591,283 Browse Full Index Next Integer #52,591,285 →