λ
Harmonic Matrix

5,124,306

2 × 3 × 11 × 77641
Abundant Even Composite

5,124,306 has digital root 3. The neighboring primes are 5124299 and 5124307; its proper-divisor sum differs from the starting integer by 931,836.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 77641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,180,448
Proper Divisor Sum 6,056,142
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5124299 ← → #5124307

Radix Representation

Decimal 5124306
Binary 10011100011000011010010 (23 bits)
Octal 0o23430322
Hexadecimal 0x4E30D2

Divisor Catalog (16)

1 2 3 6 11 22 33 66 77,641 155,282 232,923 465,846 854,051 1,708,102 2,562,153 5,124,306

Collatz Trajectory (356 steps to reach 1)

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

5,124,306 2,562,153 7,686,460 3,843,230 1,921,615 5,764,846 2,882,423 8,647,270 4,323,635 12,970,906 6,485,453 19,456,360 9,728,180 4,864,090 2,432,045 7,296,136 3,648,068 1,824,034 912,017 2,736,052 1,368,026 684,013 2,052,040 1,026,020 513,010 256,505 769,516 384,758 192,379 577,138 288,569 865,708 432,854 216,427 649,282 324,641 973,924 486,962 243,481 730,444 365,222 182,611 547,834 273,917 821,752 410,876 205,438 102,719 308,158 154,079 462,238 231,119 693,358 346,679 1,040,038 520,019 1,560,058 780,029 2,340,088 1,170,044

More profiles

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