λ
Harmonic Matrix

3,054,865

5 × 11 × 67 × 829
Deficient Odd Composite

3,054,865 has digital root 4. The neighboring primes are 3054847 and 3054871; its proper-divisor sum differs from the starting integer by -2,046,050.

Prime Factor Structure

Factorization String 5 × 11 × 67 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,063,680
Proper Divisor Sum 1,008,815
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3054847 ← → #3054871

Radix Representation

Decimal 3054865
Binary 1011101001110100010001 (22 bits)
Octal 0o13516421
Hexadecimal 0x2E9D11

Divisor Catalog (16)

1 5 11 55 67 335 737 829 3,685 4,145 9,119 45,595 55,543 277,715 610,973 3,054,865

Collatz Trajectory (133 steps to reach 1)

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

3,054,865 9,164,596 4,582,298 2,291,149 6,873,448 3,436,724 1,718,362 859,181 2,577,544 1,288,772 644,386 322,193 966,580 483,290 241,645 724,936 362,468 181,234 90,617 271,852 135,926 67,963 203,890 101,945 305,836 152,918 76,459 229,378 114,689 344,068 172,034 86,017 258,052 129,026 64,513 193,540 96,770 48,385 145,156 72,578 36,289 108,868 54,434 27,217 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379

More profiles

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