λ
Zalai Atlas

8,254,096

24 × 29 × 17789
Abundant Even Composite

8,254,096 has the prime decomposition 2^4 × 29 × 17789. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 29 × 17789
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,544,700
Proper Divisor Sum 8,290,604
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8254073 ← → #8254097

Radix Representation

Decimal 8254096
Binary 11111011111001010010000 (23 bits)
Octal 0o37371220
Hexadecimal 0x7DF290

Divisor Catalog (20)

1 2 4 8 16 29 58 116 232 464 17,789 35,578 71,156 142,312 284,624 515,881 1,031,762 2,063,524 4,127,048 8,254,096

Collatz Trajectory (62 steps to reach 1)

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

8,254,096 4,127,048 2,063,524 1,031,762 515,881 1,547,644 773,822 386,911 1,160,734 580,367 1,741,102 870,551 2,611,654 1,305,827 3,917,482 1,958,741 5,876,224 2,938,112 1,469,056 734,528 367,264 183,632 91,816 45,908 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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