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Atlas › Integer Profiles › Node 3,301,686

3,301,686

2 × 32 × 31 × 61 × 97
Abundant Even Composite

3,301,686 factors as 2 × 3^2 × 31 × 61 × 97. Its 48 positive divisors give a proper-divisor sum of 4,281,162, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 61 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,582,848
Proper Divisor Sum 4,281,162
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3301681 ← → #3301709

Radix Representation

Decimal 3301686
Binary 1100100110000100110110 (22 bits)
Octal 0o14460466
Hexadecimal 0x326136

Divisor Catalog (48)

1 2 3 6 9 18 31 61 62 93 97 122 183 186 194 279 291 366 549 558 582 873 1,098 1,746 1,891 3,007 3,782 5,673 5,917 6,014 9,021 11,346 11,834 17,019 17,751 18,042 27,063 34,038 35,502 53,253 54,126 106,506 183,427 366,854 550,281 1,100,562 1,650,843 3,301,686

Collatz Trajectory (164 steps to reach 1)

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

3,301,686 1,650,843 4,952,530 2,476,265 7,428,796 3,714,398 1,857,199 5,571,598 2,785,799 8,357,398 4,178,699 12,536,098 6,268,049 18,804,148 9,402,074 4,701,037 14,103,112 7,051,556 3,525,778 1,762,889 5,288,668 2,644,334 1,322,167 3,966,502 1,983,251 5,949,754 2,974,877 8,924,632 4,462,316 2,231,158 1,115,579 3,346,738 1,673,369 5,020,108 2,510,054 1,255,027 3,765,082 1,882,541 5,647,624 2,823,812 1,411,906 705,953 2,117,860 1,058,930 529,465 1,588,396 794,198 397,099 1,191,298 595,649 1,786,948 893,474 446,737 1,340,212 670,106 335,053 1,005,160 502,580 251,290 125,645

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