λ
Ratio Atlas

9,383,800

23 × 52 × 46919
Abundant Even Composite

9,383,800 factors as 2^3 × 5^2 × 46919. Its 24 positive divisors give a proper-divisor sum of 12,434,000, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 46919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,817,800
Proper Divisor Sum 12,434,000
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9383797 ← → #9383807

Radix Representation

Decimal 9383800
Binary 100011110010111101111000 (24 bits)
Octal 0o43627570
Hexadecimal 0x8F2F78

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 46,919 93,838 187,676 234,595 375,352 469,190 938,380 1,172,975 1,876,760 2,345,950 4,691,900 9,383,800

Collatz Trajectory (132 steps to reach 1)

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

9,383,800 4,691,900 2,345,950 1,172,975 3,518,926 1,759,463 5,278,390 2,639,195 7,917,586 3,958,793 11,876,380 5,938,190 2,969,095 8,907,286 4,453,643 13,360,930 6,680,465 20,041,396 10,020,698 5,010,349 15,031,048 7,515,524 3,757,762 1,878,881 5,636,644 2,818,322 1,409,161 4,227,484 2,113,742 1,056,871 3,170,614 1,585,307 4,755,922 2,377,961 7,133,884 3,566,942 1,783,471 5,350,414 2,675,207 8,025,622 4,012,811 12,038,434 6,019,217 18,057,652 9,028,826 4,514,413 13,543,240 6,771,620 3,385,810 1,692,905 5,078,716 2,539,358 1,269,679 3,809,038 1,904,519 5,713,558 2,856,779 8,570,338 4,285,169 12,855,508

More profiles

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