λ
Sequence Observatory

4,162,443

3 × 41 × 43 × 787
Deficient Odd Composite

Starting at 4,162,443, the Collatz iteration reaches 1 after 304 steps. The first transition is 12487330; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 43 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,824,896
Proper Divisor Sum 1,662,453
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4162439 ← → #4162447

Radix Representation

Decimal 4162443
Binary 1111111000001110001011 (22 bits)
Octal 0o17701613
Hexadecimal 0x3F838B

Divisor Catalog (16)

1 3 41 43 123 129 787 1,763 2,361 5,289 32,267 33,841 96,801 101,523 1,387,481 4,162,443

Collatz Trajectory (304 steps to reach 1)

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

4,162,443 12,487,330 6,243,665 18,730,996 9,365,498 4,682,749 14,048,248 7,024,124 3,512,062 1,756,031 5,268,094 2,634,047 7,902,142 3,951,071 11,853,214 5,926,607 17,779,822 8,889,911 26,669,734 13,334,867 40,004,602 20,002,301 60,006,904 30,003,452 15,001,726 7,500,863 22,502,590 11,251,295 33,753,886 16,876,943 50,630,830 25,315,415 75,946,246 37,973,123 113,919,370 56,959,685 170,879,056 85,439,528 42,719,764 21,359,882 10,679,941 32,039,824 16,019,912 8,009,956 4,004,978 2,002,489 6,007,468 3,003,734 1,501,867 4,505,602 2,252,801 6,758,404 3,379,202 1,689,601 5,068,804 2,534,402 1,267,201 3,801,604 1,900,802 950,401

More profiles

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