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Atlas › Integer Profiles › Node 5,882,884

5,882,884

22 × 7 × 172 × 727
Abundant Even Composite

5,882,884 factors as 2^2 × 7 × 17^2 × 727. Its 36 positive divisors give a proper-divisor sum of 6,632,892, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17^2 × 727
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,515,776
Proper Divisor Sum 6,632,892
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5882881 ← → #5882887

Radix Representation

Decimal 5882884
Binary 10110011100010000000100 (23 bits)
Octal 0o26342004
Hexadecimal 0x59C404

Divisor Catalog (36)

1 2 4 7 14 17 28 34 68 119 238 289 476 578 727 1,156 1,454 2,023 2,908 4,046 5,089 8,092 10,178 12,359 20,356 24,718 49,436 86,513 173,026 210,103 346,052 420,206 840,412 1,470,721 2,941,442 5,882,884

Collatz Trajectory (152 steps to reach 1)

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

5,882,884 2,941,442 1,470,721 4,412,164 2,206,082 1,103,041 3,309,124 1,654,562 827,281 2,481,844 1,240,922 620,461 1,861,384 930,692 465,346 232,673 698,020 349,010 174,505 523,516 261,758 130,879 392,638 196,319 588,958 294,479 883,438 441,719 1,325,158 662,579 1,987,738 993,869 2,981,608 1,490,804 745,402 372,701 1,118,104 559,052 279,526 139,763 419,290 209,645 628,936 314,468 157,234 78,617 235,852 117,926 58,963 176,890 88,445 265,336 132,668 66,334 33,167 99,502 49,751 149,254 74,627 223,882

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