λ
Ratio Atlas

8,421,048

23 × 32 × 116959
Abundant Even Composite

8,421,048 factors as 2^3 × 3^2 × 116959. Its 24 positive divisors give a proper-divisor sum of 14,386,152, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 116959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,807,200
Proper Divisor Sum 14,386,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8421041 ← → #8421067

Radix Representation

Decimal 8421048
Binary 100000000111111010111000 (24 bits)
Octal 0o40077270
Hexadecimal 0x807EB8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 116,959 233,918 350,877 467,836 701,754 935,672 1,052,631 1,403,508 2,105,262 2,807,016 4,210,524 8,421,048

Collatz Trajectory (129 steps to reach 1)

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

8,421,048 4,210,524 2,105,262 1,052,631 3,157,894 1,578,947 4,736,842 2,368,421 7,105,264 3,552,632 1,776,316 888,158 444,079 1,332,238 666,119 1,998,358 999,179 2,997,538 1,498,769 4,496,308 2,248,154 1,124,077 3,372,232 1,686,116 843,058 421,529 1,264,588 632,294 316,147 948,442 474,221 1,422,664 711,332 355,666 177,833 533,500 266,750 133,375 400,126 200,063 600,190 300,095 900,286 450,143 1,350,430 675,215 2,025,646 1,012,823 3,038,470 1,519,235 4,557,706 2,278,853 6,836,560 3,418,280 1,709,140 854,570 427,285 1,281,856 640,928 320,464

More profiles

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