52,591,288

2³ × 6573911

52,591,288 factors as 2^3 × 6573911. Its 8 positive divisors give a proper-divisor sum of 46,017,392, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^3 × 6573911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 98,608,680

Proper Divisor Sum 46,017,392

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #52591267 ← → #52591289

Radix Representation

Decimal	52591288
Binary	11001000100111101010111000 (26 bits)
Octal	0o310475270
Hexadecimal	0x3227AB8

Divisor Catalog (8)

1 2 4 8 6,573,911 13,147,822 26,295,644 52,591,288

Collatz Trajectory (225 steps to reach 1)

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

52,591,288 26,295,644 13,147,822 6,573,911 19,721,734 9,860,867 29,582,602 14,791,301 44,373,904 22,186,952 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

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