λ
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Atlas › Integer Profiles › Node 4,532,094

4,532,094

2 × 32 × 7 × 35969
Abundant Even Composite

Starting at 4,532,094, the Collatz iteration reaches 1 after 211 steps. The first transition is 2266047; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 35969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,222,640
Proper Divisor Sum 6,690,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4532063 ← → #4532113

Radix Representation

Decimal 4532094
Binary 10001010010011101111110 (23 bits)
Octal 0o21223576
Hexadecimal 0x45277E

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 35,969 71,938 107,907 215,814 251,783 323,721 503,566 647,442 755,349 1,510,698 2,266,047 4,532,094

Collatz Trajectory (211 steps to reach 1)

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

4,532,094 2,266,047 6,798,142 3,399,071 10,197,214 5,098,607 15,295,822 7,647,911 22,943,734 11,471,867 34,415,602 17,207,801 51,623,404 25,811,702 12,905,851 38,717,554 19,358,777 58,076,332 29,038,166 14,519,083 43,557,250 21,778,625 65,335,876 32,667,938 16,333,969 49,001,908 24,500,954 12,250,477 36,751,432 18,375,716 9,187,858 4,593,929 13,781,788 6,890,894 3,445,447 10,336,342 5,168,171 15,504,514 7,752,257 23,256,772 11,628,386 5,814,193 17,442,580 8,721,290 4,360,645 13,081,936 6,540,968 3,270,484 1,635,242 817,621 2,452,864 1,226,432 613,216 306,608 153,304 76,652 38,326 19,163 57,490 28,745

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