λ
Harmonic Matrix

6,984,446

2 × 7 × 53 × 9413
Deficient Even Composite

6,984,446 has digital root 5. The neighboring primes are 6984437 and 6984449; its proper-divisor sum differs from the starting integer by -1,768,348.

Prime Factor Structure

Factorization String 2 × 7 × 53 × 9413
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,200,544
Proper Divisor Sum 5,216,098
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6984437 ← → #6984449

Radix Representation

Decimal 6984446
Binary 11010101001001011111110 (23 bits)
Octal 0o32511376
Hexadecimal 0x6A92FE

Divisor Catalog (16)

1 2 7 14 53 106 371 742 9,413 18,826 65,891 131,782 498,889 997,778 3,492,223 6,984,446

Collatz Trajectory (222 steps to reach 1)

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

6,984,446 3,492,223 10,476,670 5,238,335 15,715,006 7,857,503 23,572,510 11,786,255 35,358,766 17,679,383 53,038,150 26,519,075 79,557,226 39,778,613 119,335,840 59,667,920 29,833,960 14,916,980 7,458,490 3,729,245 11,187,736 5,593,868 2,796,934 1,398,467 4,195,402 2,097,701 6,293,104 3,146,552 1,573,276 786,638 393,319 1,179,958 589,979 1,769,938 884,969 2,654,908 1,327,454 663,727 1,991,182 995,591 2,986,774 1,493,387 4,480,162 2,240,081 6,720,244 3,360,122 1,680,061 5,040,184 2,520,092 1,260,046 630,023 1,890,070 945,035 2,835,106 1,417,553 4,252,660 2,126,330 1,063,165 3,189,496 1,594,748

More profiles

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