λ
Harmonic Matrix

6,093,228

22 × 3 × 293 × 1733
Abundant Even Composite

6,093,228 has digital root 3. The neighboring primes are 6093223 and 6093247; its proper-divisor sum differs from the starting integer by 2,087,832.

Prime Factor Structure

Factorization String 2^2 × 3 × 293 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,274,288
Proper Divisor Sum 8,181,060
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6093223 ← → #6093247

Radix Representation

Decimal 6093228
Binary 10111001111100110101100 (23 bits)
Octal 0o27174654
Hexadecimal 0x5CF9AC

Divisor Catalog (24)

1 2 3 4 6 12 293 586 879 1,172 1,733 1,758 3,466 3,516 5,199 6,932 10,398 20,796 507,769 1,015,538 1,523,307 2,031,076 3,046,614 6,093,228

Collatz Trajectory (183 steps to reach 1)

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

6,093,228 3,046,614 1,523,307 4,569,922 2,284,961 6,854,884 3,427,442 1,713,721 5,141,164 2,570,582 1,285,291 3,855,874 1,927,937 5,783,812 2,891,906 1,445,953 4,337,860 2,168,930 1,084,465 3,253,396 1,626,698 813,349 2,440,048 1,220,024 610,012 305,006 152,503 457,510 228,755 686,266 343,133 1,029,400 514,700 257,350 128,675 386,026 193,013 579,040 289,520 144,760 72,380 36,190 18,095 54,286 27,143 81,430 40,715 122,146 61,073 183,220 91,610 45,805 137,416 68,708 34,354 17,177 51,532 25,766 12,883 38,650

More profiles

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