λ
Harmonic Matrix

5,124,324

22 × 3 × 113 × 3779
Abundant Even Composite

5,124,324 has digital root 3. The neighboring primes are 5124307 and 5124349; its proper-divisor sum differs from the starting integer by 1,817,112.

Prime Factor Structure

Factorization String 2^2 × 3 × 113 × 3779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,065,760
Proper Divisor Sum 6,941,436
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5124307 ← → #5124349

Radix Representation

Decimal 5124324
Binary 10011100011000011100100 (23 bits)
Octal 0o23430344
Hexadecimal 0x4E30E4

Divisor Catalog (24)

1 2 3 4 6 12 113 226 339 452 678 1,356 3,779 7,558 11,337 15,116 22,674 45,348 427,027 854,054 1,281,081 1,708,108 2,562,162 5,124,324

Collatz Trajectory (126 steps to reach 1)

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

5,124,324 2,562,162 1,281,081 3,843,244 1,921,622 960,811 2,882,434 1,441,217 4,323,652 2,161,826 1,080,913 3,242,740 1,621,370 810,685 2,432,056 1,216,028 608,014 304,007 912,022 456,011 1,368,034 684,017 2,052,052 1,026,026 513,013 1,539,040 769,520 384,760 192,380 96,190 48,095 144,286 72,143 216,430 108,215 324,646 162,323 486,970 243,485 730,456 365,228 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417

More profiles

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