λ
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Atlas › Integer Profiles › Node 47,891,750

47,891,750

2 × 53 × 23 × 8329
Deficient Even Composite

47,891,750 factors as 2 × 5^3 × 23 × 8329. Its 32 positive divisors give a proper-divisor sum of 45,670,810, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 23 × 8329
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,562,560
Proper Divisor Sum 45,670,810
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #47891749 ← → #47891803

Radix Representation

Decimal 47891750
Binary 10110110101100010100100110 (26 bits)
Octal 0o266542446
Hexadecimal 0x2DAC526

Divisor Catalog (32)

1 2 5 10 23 25 46 50 115 125 230 250 575 1,150 2,875 5,750 8,329 16,658 41,645 83,290 191,567 208,225 383,134 416,450 957,835 1,041,125 1,915,670 2,082,250 4,789,175 9,578,350 23,945,875 47,891,750

Collatz Trajectory (116 steps to reach 1)

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

47,891,750 23,945,875 71,837,626 35,918,813 107,756,440 53,878,220 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

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