λ
Sigma Notebook

3,746,646

2 × 32 × 208147
Abundant Even Composite

3,746,646 is even and not a perfect square. Its factorization is 2 × 3^2 × 208147 and its 12 divisors sum to 8,117,772.

Prime Factor Structure

Factorization String 2 × 3^2 × 208147
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,117,772
Proper Divisor Sum 4,371,126
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3746641 ← → #3746651

Radix Representation

Decimal 3746646
Binary 1110010010101101010110 (22 bits)
Octal 0o16225526
Hexadecimal 0x392B56

Divisor Catalog (12)

1 2 3 6 9 18 208,147 416,294 624,441 1,248,882 1,873,323 3,746,646

Collatz Trajectory (159 steps to reach 1)

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

3,746,646 1,873,323 5,619,970 2,809,985 8,429,956 4,214,978 2,107,489 6,322,468 3,161,234 1,580,617 4,741,852 2,370,926 1,185,463 3,556,390 1,778,195 5,334,586 2,667,293 8,001,880 4,000,940 2,000,470 1,000,235 3,000,706 1,500,353 4,501,060 2,250,530 1,125,265 3,375,796 1,687,898 843,949 2,531,848 1,265,924 632,962 316,481 949,444 474,722 237,361 712,084 356,042 178,021 534,064 267,032 133,516 66,758 33,379 100,138 50,069 150,208 75,104 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962

More profiles

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