λ
Harmonic Matrix

3,094,125

3 × 53 × 37 × 223
Deficient Odd Composite

3,094,125 has digital root 6. The neighboring primes are 3094123 and 3094129; its proper-divisor sum differs from the starting integer by -876,762.

Prime Factor Structure

Factorization String 3 × 5^3 × 37 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,311,488
Proper Divisor Sum 2,217,363
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3094123 ← → #3094129

Radix Representation

Decimal 3094125
Binary 1011110011011001101101 (22 bits)
Octal 0o13633155
Hexadecimal 0x2F366D

Divisor Catalog (32)

1 3 5 15 25 37 75 111 125 185 223 375 555 669 925 1,115 2,775 3,345 4,625 5,575 8,251 13,875 16,725 24,753 27,875 41,255 83,625 123,765 206,275 618,825 1,031,375 3,094,125

Collatz Trajectory (195 steps to reach 1)

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

3,094,125 9,282,376 4,641,188 2,320,594 1,160,297 3,480,892 1,740,446 870,223 2,610,670 1,305,335 3,916,006 1,958,003 5,874,010 2,937,005 8,811,016 4,405,508 2,202,754 1,101,377 3,304,132 1,652,066 826,033 2,478,100 1,239,050 619,525 1,858,576 929,288 464,644 232,322 116,161 348,484 174,242 87,121 261,364 130,682 65,341 196,024 98,012 49,006 24,503 73,510 36,755 110,266 55,133 165,400 82,700 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628

More profiles

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