λ
Harmonic Matrix

6,105,094

2 × 491 × 6217
Deficient Even Composite

6,105,094 has digital root 7. The neighboring primes are 6105089 and 6105101; its proper-divisor sum differs from the starting integer by -3,032,420.

Prime Factor Structure

Factorization String 2 × 491 × 6217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,177,768
Proper Divisor Sum 3,072,674
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6105089 ← → #6105101

Radix Representation

Decimal 6105094
Binary 10111010010100000000110 (23 bits)
Octal 0o27224006
Hexadecimal 0x5D2806

Divisor Catalog (8)

1 2 491 982 6,217 12,434 3,052,547 6,105,094

Collatz Trajectory (165 steps to reach 1)

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

6,105,094 3,052,547 9,157,642 4,578,821 13,736,464 6,868,232 3,434,116 1,717,058 858,529 2,575,588 1,287,794 643,897 1,931,692 965,846 482,923 1,448,770 724,385 2,173,156 1,086,578 543,289 1,629,868 814,934 407,467 1,222,402 611,201 1,833,604 916,802 458,401 1,375,204 687,602 343,801 1,031,404 515,702 257,851 773,554 386,777 1,160,332 580,166 290,083 870,250 435,125 1,305,376 652,688 326,344 163,172 81,586 40,793 122,380 61,190 30,595 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454

More profiles

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