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Atlas › Integer Profiles › Node 4,126,944

4,126,944

25 × 3 × 42989
Abundant Even Composite

4,126,944 factors as 2^5 × 3 × 42989. Its 24 positive divisors give a proper-divisor sum of 6,706,536, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 42989
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,833,480
Proper Divisor Sum 6,706,536
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4126939 ← → #4126963

Radix Representation

Decimal 4126944
Binary 1111101111100011100000 (22 bits)
Octal 0o17574340
Hexadecimal 0x3EF8E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 42,989 85,978 128,967 171,956 257,934 343,912 515,868 687,824 1,031,736 1,375,648 2,063,472 4,126,944

Collatz Trajectory (198 steps to reach 1)

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

4,126,944 2,063,472 1,031,736 515,868 257,934 128,967 386,902 193,451 580,354 290,177 870,532 435,266 217,633 652,900 326,450 163,225 489,676 244,838 122,419 367,258 183,629 550,888 275,444 137,722 68,861 206,584 103,292 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363

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