λ
Prime Ledger

3,365,742

2 × 3 × 37 × 15161
Abundant Even Composite

3,365,742 has the prime decomposition 2 × 3 × 37 × 15161. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 15161
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,913,872
Proper Divisor Sum 3,548,130
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3365741 ← → #3365743

Radix Representation

Decimal 3365742
Binary 1100110101101101101110 (22 bits)
Octal 0o14655556
Hexadecimal 0x335B6E

Divisor Catalog (16)

1 2 3 6 37 74 111 222 15,161 30,322 45,483 90,966 560,957 1,121,914 1,682,871 3,365,742

Collatz Trajectory (133 steps to reach 1)

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

3,365,742 1,682,871 5,048,614 2,524,307 7,572,922 3,786,461 11,359,384 5,679,692 2,839,846 1,419,923 4,259,770 2,129,885 6,389,656 3,194,828 1,597,414 798,707 2,396,122 1,198,061 3,594,184 1,797,092 898,546 449,273 1,347,820 673,910 336,955 1,010,866 505,433 1,516,300 758,150 379,075 1,137,226 568,613 1,705,840 852,920 426,460 213,230 106,615 319,846 159,923 479,770 239,885 719,656 359,828 179,914 89,957 269,872 134,936 67,468 33,734 16,867 50,602 25,301 75,904 37,952 18,976 9,488 4,744 2,372 1,186 593

More profiles

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