λ
Sigma Notebook

9,189,500

22 × 53 × 18379
Abundant Even Composite

9,189,500 is even and not a perfect square. Its factorization is 2^2 × 5^3 × 18379 and its 24 divisors sum to 20,070,960.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 18379
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,070,960
Proper Divisor Sum 10,881,460
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9189497 ← → #9189527

Radix Representation

Decimal 9189500
Binary 100011000011100001111100 (24 bits)
Octal 0o43034174
Hexadecimal 0x8C387C

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 18,379 36,758 73,516 91,895 183,790 367,580 459,475 918,950 1,837,900 2,297,375 4,594,750 9,189,500

Collatz Trajectory (331 steps to reach 1)

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

9,189,500 4,594,750 2,297,375 6,892,126 3,446,063 10,338,190 5,169,095 15,507,286 7,753,643 23,260,930 11,630,465 34,891,396 17,445,698 8,722,849 26,168,548 13,084,274 6,542,137 19,626,412 9,813,206 4,906,603 14,719,810 7,359,905 22,079,716 11,039,858 5,519,929 16,559,788 8,279,894 4,139,947 12,419,842 6,209,921 18,629,764 9,314,882 4,657,441 13,972,324 6,986,162 3,493,081 10,479,244 5,239,622 2,619,811 7,859,434 3,929,717 11,789,152 5,894,576 2,947,288 1,473,644 736,822 368,411 1,105,234 552,617 1,657,852 828,926 414,463 1,243,390 621,695 1,865,086 932,543 2,797,630 1,398,815 4,196,446 2,098,223

More profiles

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