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Atlas › Integer Profiles › Node 5,855,166

5,855,166

2 × 34 × 47 × 769
Abundant Even Composite

5,855,166 factors as 2 × 3^4 × 47 × 769. Its 40 positive divisors give a proper-divisor sum of 7,561,314, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 47 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,416,480
Proper Divisor Sum 7,561,314
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5855159 ← → #5855167

Radix Representation

Decimal 5855166
Binary 10110010101011110111110 (23 bits)
Octal 0o26253676
Hexadecimal 0x5957BE

Divisor Catalog (40)

1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 769 846 1,269 1,538 2,307 2,538 3,807 4,614 6,921 7,614 13,842 20,763 36,143 41,526 62,289 72,286 108,429 124,578 216,858 325,287 650,574 975,861 1,951,722 2,927,583 5,855,166

Collatz Trajectory (214 steps to reach 1)

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

5,855,166 2,927,583 8,782,750 4,391,375 13,174,126 6,587,063 19,761,190 9,880,595 29,641,786 14,820,893 44,462,680 22,231,340 11,115,670 5,557,835 16,673,506 8,336,753 25,010,260 12,505,130 6,252,565 18,757,696 9,378,848 4,689,424 2,344,712 1,172,356 586,178 293,089 879,268 439,634 219,817 659,452 329,726 164,863 494,590 247,295 741,886 370,943 1,112,830 556,415 1,669,246 834,623 2,503,870 1,251,935 3,755,806 1,877,903 5,633,710 2,816,855 8,450,566 4,225,283 12,675,850 6,337,925 19,013,776 9,506,888 4,753,444 2,376,722 1,188,361 3,565,084 1,782,542 891,271 2,673,814 1,336,907

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