47,891,748

2² × 3 × 3990979

47,891,748 factors as 2^2 × 3 × 3990979. Its 12 positive divisors give a proper-divisor sum of 63,855,692, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 3990979

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 111,747,440

Proper Divisor Sum 63,855,692

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #47891743 ← → #47891749

Radix Representation

Decimal	47891748
Binary	10110110101100010100100100 (26 bits)
Octal	0o266542444
Hexadecimal	0x2DAC524

Divisor Catalog (12)

1 2 3 4 6 12 3,990,979 7,981,958 11,972,937 15,963,916 23,945,874 47,891,748

Collatz Trajectory (116 steps to reach 1)

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

47,891,748 23,945,874 11,972,937 35,918,812 17,959,406 8,979,703 26,939,110 13,469,555 40,408,666 20,204,333 60,613,000 30,306,500 15,153,250 7,576,625 22,729,876 11,364,938 5,682,469 17,047,408 8,523,704 4,261,852 2,130,926 1,065,463 3,196,390 1,598,195 4,794,586 2,397,293 7,191,880 3,595,940 1,797,970 898,985 2,696,956 1,348,478 674,239 2,022,718 1,011,359 3,034,078 1,517,039 4,551,118 2,275,559 6,826,678 3,413,339 10,240,018 5,120,009 15,360,028 7,680,014 3,840,007 11,520,022 5,760,011 17,280,034 8,640,017 25,920,052 12,960,026 6,480,013 19,440,040 9,720,020 4,860,010 2,430,005 7,290,016 3,645,008 1,822,504

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #47,891,747 Browse Full Index Next Integer #47,891,749 →