λ
Harmonic Matrix

6,210,267

3 × 7 × 295727
Deficient Odd Composite

6,210,267 has digital root 6. The neighboring primes are 6210247 and 6210277; its proper-divisor sum differs from the starting integer by -2,957,238.

Prime Factor Structure

Factorization String 3 × 7 × 295727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,463,296
Proper Divisor Sum 3,253,029
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6210247 ← → #6210277

Radix Representation

Decimal 6210267
Binary 10111101100001011011011 (23 bits)
Octal 0o27541333
Hexadecimal 0x5EC2DB

Divisor Catalog (8)

1 3 7 21 295,727 887,181 2,070,089 6,210,267

Collatz Trajectory (134 steps to reach 1)

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

6,210,267 18,630,802 9,315,401 27,946,204 13,973,102 6,986,551 20,959,654 10,479,827 31,439,482 15,719,741 47,159,224 23,579,612 11,789,806 5,894,903 17,684,710 8,842,355 26,527,066 13,263,533 39,790,600 19,895,300 9,947,650 4,973,825 14,921,476 7,460,738 3,730,369 11,191,108 5,595,554 2,797,777 8,393,332 4,196,666 2,098,333 6,295,000 3,147,500 1,573,750 786,875 2,360,626 1,180,313 3,540,940 1,770,470 885,235 2,655,706 1,327,853 3,983,560 1,991,780 995,890 497,945 1,493,836 746,918 373,459 1,120,378 560,189 1,680,568 840,284 420,142 210,071 630,214 315,107 945,322 472,661 1,417,984

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