λ
Ratio Atlas

4,141,890

2 × 32 × 5 × 46021
Abundant Even Composite

4,141,890 factors as 2 × 3^2 × 5 × 46021. Its 24 positive divisors give a proper-divisor sum of 6,627,258, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 46021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,769,148
Proper Divisor Sum 6,627,258
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4141877 ← → #4141903

Radix Representation

Decimal 4141890
Binary 1111110011001101000010 (22 bits)
Octal 0o17631502
Hexadecimal 0x3F3342

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 46,021 92,042 138,063 230,105 276,126 414,189 460,210 690,315 828,378 1,380,630 2,070,945 4,141,890

Collatz Trajectory (185 steps to reach 1)

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

4,141,890 2,070,945 6,212,836 3,106,418 1,553,209 4,659,628 2,329,814 1,164,907 3,494,722 1,747,361 5,242,084 2,621,042 1,310,521 3,931,564 1,965,782 982,891 2,948,674 1,474,337 4,423,012 2,211,506 1,105,753 3,317,260 1,658,630 829,315 2,487,946 1,243,973 3,731,920 1,865,960 932,980 466,490 233,245 699,736 349,868 174,934 87,467 262,402 131,201 393,604 196,802 98,401 295,204 147,602 73,801 221,404 110,702 55,351 166,054 83,027 249,082 124,541 373,624 186,812 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625

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