λ
Sequence Observatory

4,081,350

2 × 3 × 52 × 7 × 132 × 23
Abundant Even Composite

Starting at 4,081,350, the Collatz iteration reaches 1 after 185 steps. The first transition is 2040675; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 13^2 × 23
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 13,070,592
Proper Divisor Sum 8,989,242
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4081331 ← → #4081351

Radix Representation

Decimal 4081350
Binary 1111100100011011000110 (22 bits)
Octal 0o17443306
Hexadecimal 0x3E46C6

Divisor Catalog (60 of 144)

1 2 3 5 6 7 10 13 14 15 21 23 25 26 30 35 39 42 46 50 65 69 70 75 78 91 105 115 130 138 150 161 169 175 182 195 210 230 273 299 322 325 338 345 350 390 455 483 507 525 546 575 598 650 690 805 845 897 910 966

Collatz Trajectory (185 steps to reach 1)

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

4,081,350 2,040,675 6,122,026 3,061,013 9,183,040 4,591,520 2,295,760 1,147,880 573,940 286,970 143,485 430,456 215,228 107,614 53,807 161,422 80,711 242,134 121,067 363,202 181,601 544,804 272,402 136,201 408,604 204,302 102,151 306,454 153,227 459,682 229,841 689,524 344,762 172,381 517,144 258,572 129,286 64,643 193,930 96,965 290,896 145,448 72,724 36,362 18,181 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318

More profiles

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