31,431,766

2 × 29 × 541927

31,431,766 factors as 2 × 29 × 541927. Its 8 positive divisors give a proper-divisor sum of 17,341,754, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 29 × 541927

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 48,773,520

Proper Divisor Sum 17,341,754

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31431749 ← → #31431781

Radix Representation

Decimal	31431766
Binary	1110111111001110001010110 (25 bits)
Octal	0o167716126
Hexadecimal	0x1DF9C56

Divisor Catalog (8)

1 2 29 58 541,927 1,083,854 15,715,883 31,431,766

Collatz Trajectory (126 steps to reach 1)

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

31,431,766 15,715,883 47,147,650 23,573,825 70,721,476 35,360,738 17,680,369 53,041,108 26,520,554 13,260,277 39,780,832 19,890,416 9,945,208 4,972,604 2,486,302 1,243,151 3,729,454 1,864,727 5,594,182 2,797,091 8,391,274 4,195,637 12,586,912 6,293,456 3,146,728 1,573,364 786,682 393,341 1,180,024 590,012 295,006 147,503 442,510 221,255 663,766 331,883 995,650 497,825 1,493,476 746,738 373,369 1,120,108 560,054 280,027 840,082 420,041 1,260,124 630,062 315,031 945,094 472,547 1,417,642 708,821 2,126,464 1,063,232 531,616 265,808 132,904 66,452 33,226

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