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Atlas › Integer Profiles › Node 5,941,398

5,941,398

2 × 3 × 17 × 31 × 1879
Abundant Even Composite

5,941,398 factors as 2 × 3 × 17 × 31 × 1879. Its 32 positive divisors give a proper-divisor sum of 7,053,162, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,994,560
Proper Divisor Sum 7,053,162
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5941393 ← → #5941399

Radix Representation

Decimal 5941398
Binary 10110101010100010010110 (23 bits)
Octal 0o26524226
Hexadecimal 0x5AA896

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 527 1,054 1,581 1,879 3,162 3,758 5,637 11,274 31,943 58,249 63,886 95,829 116,498 174,747 191,658 349,494 990,233 1,980,466 2,970,699 5,941,398

Collatz Trajectory (214 steps to reach 1)

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

5,941,398 2,970,699 8,912,098 4,456,049 13,368,148 6,684,074 3,342,037 10,026,112 5,013,056 2,506,528 1,253,264 626,632 313,316 156,658 78,329 234,988 117,494 58,747 176,242 88,121 264,364 132,182 66,091 198,274 99,137 297,412 148,706 74,353 223,060 111,530 55,765 167,296 83,648 41,824 20,912 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726

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