λ
Harmonic Matrix

5,876,724

22 × 3 × 7 × 43 × 1627
Abundant Even Composite

5,876,724 has digital root 3. The neighboring primes are 5876699 and 5876729; its proper-divisor sum differs from the starting integer by 4,292,120.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 43 × 1627
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,045,568
Proper Divisor Sum 10,168,844
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5876699 ← → #5876729

Radix Representation

Decimal 5876724
Binary 10110011010101111110100 (23 bits)
Octal 0o26325764
Hexadecimal 0x59ABF4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1,204 1,627 1,806 3,254 3,612 4,881 6,508 9,762 11,389 19,524 22,778 34,167 45,556 68,334 69,961 136,668 139,922 209,883 279,844 419,766 489,727 839,532 979,454 1,469,181 1,958,908 2,938,362 5,876,724

Collatz Trajectory (183 steps to reach 1)

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

5,876,724 2,938,362 1,469,181 4,407,544 2,203,772 1,101,886 550,943 1,652,830 826,415 2,479,246 1,239,623 3,718,870 1,859,435 5,578,306 2,789,153 8,367,460 4,183,730 2,091,865 6,275,596 3,137,798 1,568,899 4,706,698 2,353,349 7,060,048 3,530,024 1,765,012 882,506 441,253 1,323,760 661,880 330,940 165,470 82,735 248,206 124,103 372,310 186,155 558,466 279,233 837,700 418,850 209,425 628,276 314,138 157,069 471,208 235,604 117,802 58,901 176,704 88,352 44,176 22,088 11,044 5,522 2,761 8,284 4,142 2,071 6,214

More profiles

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