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Atlas › Integer Profiles › Node 4,333,806

4,333,806

2 × 32 × 61 × 3947
Abundant Even Composite

4,333,806 factors as 2 × 3^2 × 61 × 3947. Its 24 positive divisors give a proper-divisor sum of 5,212,458, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 3947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,546,264
Proper Divisor Sum 5,212,458
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4333753 ← → #4333829

Radix Representation

Decimal 4333806
Binary 10000100010000011101110 (23 bits)
Octal 0o20420356
Hexadecimal 0x4220EE

Divisor Catalog (24)

1 2 3 6 9 18 61 122 183 366 549 1,098 3,947 7,894 11,841 23,682 35,523 71,046 240,767 481,534 722,301 1,444,602 2,166,903 4,333,806

Collatz Trajectory (154 steps to reach 1)

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

4,333,806 2,166,903 6,500,710 3,250,355 9,751,066 4,875,533 14,626,600 7,313,300 3,656,650 1,828,325 5,484,976 2,742,488 1,371,244 685,622 342,811 1,028,434 514,217 1,542,652 771,326 385,663 1,156,990 578,495 1,735,486 867,743 2,603,230 1,301,615 3,904,846 1,952,423 5,857,270 2,928,635 8,785,906 4,392,953 13,178,860 6,589,430 3,294,715 9,884,146 4,942,073 14,826,220 7,413,110 3,706,555 11,119,666 5,559,833 16,679,500 8,339,750 4,169,875 12,509,626 6,254,813 18,764,440 9,382,220 4,691,110 2,345,555 7,036,666 3,518,333 10,555,000 5,277,500 2,638,750 1,319,375 3,958,126 1,979,063 5,937,190

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