λ
Match Zalai

3,336,882

2 × 3 × 37 × 15031
Abundant Even Composite

3,336,882 factors as 2 × 3 × 37 × 15031. Its 16 positive divisors give a proper-divisor sum of 3,517,710, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 15031
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,854,592
Proper Divisor Sum 3,517,710
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3336833 ← → #3336887

Radix Representation

Decimal 3336882
Binary 1100101110101010110010 (22 bits)
Octal 0o14565262
Hexadecimal 0x32EAB2

Divisor Catalog (16)

1 2 3 6 37 74 111 222 15,031 30,062 45,093 90,186 556,147 1,112,294 1,668,441 3,336,882

Collatz Trajectory (164 steps to reach 1)

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

3,336,882 1,668,441 5,005,324 2,502,662 1,251,331 3,753,994 1,876,997 5,630,992 2,815,496 1,407,748 703,874 351,937 1,055,812 527,906 263,953 791,860 395,930 197,965 593,896 296,948 148,474 74,237 222,712 111,356 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167

More profiles

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