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Atlas › Integer Profiles › Node 4,449,006

4,449,006

2 × 34 × 29 × 947
Abundant Even Composite

4,449,006 factors as 2 × 3^4 × 29 × 947. Its 40 positive divisors give a proper-divisor sum of 5,874,714, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 29 × 947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,323,720
Proper Divisor Sum 5,874,714
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4448989 ← → #4449017

Radix Representation

Decimal 4449006
Binary 10000111110001011101110 (23 bits)
Octal 0o20761356
Hexadecimal 0x43E2EE

Divisor Catalog (40)

1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 947 1,566 1,894 2,349 2,841 4,698 5,682 8,523 17,046 25,569 27,463 51,138 54,926 76,707 82,389 153,414 164,778 247,167 494,334 741,501 1,483,002 2,224,503 4,449,006

Collatz Trajectory (193 steps to reach 1)

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

4,449,006 2,224,503 6,673,510 3,336,755 10,010,266 5,005,133 15,015,400 7,507,700 3,753,850 1,876,925 5,630,776 2,815,388 1,407,694 703,847 2,111,542 1,055,771 3,167,314 1,583,657 4,750,972 2,375,486 1,187,743 3,563,230 1,781,615 5,344,846 2,672,423 8,017,270 4,008,635 12,025,906 6,012,953 18,038,860 9,019,430 4,509,715 13,529,146 6,764,573 20,293,720 10,146,860 5,073,430 2,536,715 7,610,146 3,805,073 11,415,220 5,707,610 2,853,805 8,561,416 4,280,708 2,140,354 1,070,177 3,210,532 1,605,266 802,633 2,407,900 1,203,950 601,975 1,805,926 902,963 2,708,890 1,354,445 4,063,336 2,031,668 1,015,834

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