λ
Sequence Observatory

4,183,542

2 × 33 × 11 × 7043
Abundant Even Composite

Starting at 4,183,542, the Collatz iteration reaches 1 after 273 steps. The first transition is 2091771; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,143,360
Proper Divisor Sum 5,959,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4183537 ← → #4183559

Radix Representation

Decimal 4183542
Binary 1111111101010111110110 (22 bits)
Octal 0o17752766
Hexadecimal 0x3FD5F6

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 7,043 14,086 21,129 42,258 63,387 77,473 126,774 154,946 190,161 232,419 380,322 464,838 697,257 1,394,514 2,091,771 4,183,542

Collatz Trajectory (273 steps to reach 1)

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

4,183,542 2,091,771 6,275,314 3,137,657 9,412,972 4,706,486 2,353,243 7,059,730 3,529,865 10,589,596 5,294,798 2,647,399 7,942,198 3,971,099 11,913,298 5,956,649 17,869,948 8,934,974 4,467,487 13,402,462 6,701,231 20,103,694 10,051,847 30,155,542 15,077,771 45,233,314 22,616,657 67,849,972 33,924,986 16,962,493 50,887,480 25,443,740 12,721,870 6,360,935 19,082,806 9,541,403 28,624,210 14,312,105 42,936,316 21,468,158 10,734,079 32,202,238 16,101,119 48,303,358 24,151,679 72,455,038 36,227,519 108,682,558 54,341,279 163,023,838 81,511,919 244,535,758 122,267,879 366,803,638 183,401,819 550,205,458 275,102,729 825,308,188 412,654,094 206,327,047

More profiles

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