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Atlas › Integer Profiles › Node 4,098,546

4,098,546

2 × 33 × 71 × 1069
Abundant Even Composite

4,098,546 factors as 2 × 3^3 × 71 × 1069. Its 32 positive divisors give a proper-divisor sum of 5,146,254, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 71 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,244,800
Proper Divisor Sum 5,146,254
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4098533 ← → #4098551

Radix Representation

Decimal 4098546
Binary 1111101000100111110010 (22 bits)
Octal 0o17504762
Hexadecimal 0x3E89F2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 71 142 213 426 639 1,069 1,278 1,917 2,138 3,207 3,834 6,414 9,621 19,242 28,863 57,726 75,899 151,798 227,697 455,394 683,091 1,366,182 2,049,273 4,098,546

Collatz Trajectory (198 steps to reach 1)

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

4,098,546 2,049,273 6,147,820 3,073,910 1,536,955 4,610,866 2,305,433 6,916,300 3,458,150 1,729,075 5,187,226 2,593,613 7,780,840 3,890,420 1,945,210 972,605 2,917,816 1,458,908 729,454 364,727 1,094,182 547,091 1,641,274 820,637 2,461,912 1,230,956 615,478 307,739 923,218 461,609 1,384,828 692,414 346,207 1,038,622 519,311 1,557,934 778,967 2,336,902 1,168,451 3,505,354 1,752,677 5,258,032 2,629,016 1,314,508 657,254 328,627 985,882 492,941 1,478,824 739,412 369,706 184,853 554,560 277,280 138,640 69,320 34,660 17,330 8,665 25,996

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