λ
Zalai Atlas

4,147,074

2 × 32 × 230393
Abundant Even Composite

4,147,074 has the prime decomposition 2 × 3^2 × 230393. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 230393
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,985,366
Proper Divisor Sum 4,838,292
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4147043 ← → #4147079

Radix Representation

Decimal 4147074
Binary 1111110100011110000010 (22 bits)
Octal 0o17643602
Hexadecimal 0x3F4782

Divisor Catalog (12)

1 2 3 6 9 18 230,393 460,786 691,179 1,382,358 2,073,537 4,147,074

Collatz Trajectory (198 steps to reach 1)

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

4,147,074 2,073,537 6,220,612 3,110,306 1,555,153 4,665,460 2,332,730 1,166,365 3,499,096 1,749,548 874,774 437,387 1,312,162 656,081 1,968,244 984,122 492,061 1,476,184 738,092 369,046 184,523 553,570 276,785 830,356 415,178 207,589 622,768 311,384 155,692 77,846 38,923 116,770 58,385 175,156 87,578 43,789 131,368 65,684 32,842 16,421 49,264 24,632 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731

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