3,743,796

2² × 3 × 7² × 6367

3,743,796 has the prime decomposition 2^2 × 3 × 7^2 × 6367. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 6367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,163,328

Proper Divisor Sum 6,419,532

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3743749 ← → #3743797

Radix Representation

Decimal	3743796
Binary	1110010010000000110100 (22 bits)
Octal	0o16220064
Hexadecimal	0x392034

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 6,367 12,734 19,101 25,468 38,202 44,569 76,404 89,138 133,707 178,276 267,414 311,983 534,828 623,966 935,949 1,247,932 1,871,898 3,743,796

Collatz Trajectory (128 steps to reach 1)

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

3,743,796 1,871,898 935,949 2,807,848 1,403,924 701,962 350,981 1,052,944 526,472 263,236 131,618 65,809 197,428 98,714 49,357 148,072 74,036 37,018 18,509 55,528 27,764 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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