λ
Harmonic Matrix

2,367,695

5 × 11 × 43049
Deficient Odd Composite

2,367,695 has digital root 2. The neighboring primes are 2367691 and 2367707; its proper-divisor sum differs from the starting integer by -1,635,790.

Prime Factor Structure

Factorization String 5 × 11 × 43049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,099,600
Proper Divisor Sum 731,905
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2367691 ← → #2367707

Radix Representation

Decimal 2367695
Binary 1001000010000011001111 (22 bits)
Octal 0o11020317
Hexadecimal 0x2420CF

Divisor Catalog (8)

1 5 11 55 43,049 215,245 473,539 2,367,695

Collatz Trajectory (122 steps to reach 1)

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

2,367,695 7,103,086 3,551,543 10,654,630 5,327,315 15,981,946 7,990,973 23,972,920 11,986,460 5,993,230 2,996,615 8,989,846 4,494,923 13,484,770 6,742,385 20,227,156 10,113,578 5,056,789 15,170,368 7,585,184 3,792,592 1,896,296 948,148 474,074 237,037 711,112 355,556 177,778 88,889 266,668 133,334 66,667 200,002 100,001 300,004 150,002 75,001 225,004 112,502 56,251 168,754 84,377 253,132 126,566 63,283 189,850 94,925 284,776 142,388 71,194 35,597 106,792 53,396 26,698 13,349 40,048 20,024 10,012 5,006 2,503

More profiles

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