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Atlas › Integer Profiles › Node 4,138,568

4,138,568

23 × 7 × 263 × 281
Abundant Even Composite

4,138,568 factors as 2^3 × 7 × 263 × 281. Its 32 positive divisors give a proper-divisor sum of 4,795,192, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 263 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,933,760
Proper Divisor Sum 4,795,192
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4138567 ← → #4138577

Radix Representation

Decimal 4138568
Binary 1111110010011001001000 (22 bits)
Octal 0o17623110
Hexadecimal 0x3F2648

Divisor Catalog (32)

1 2 4 7 8 14 28 56 263 281 526 562 1,052 1,124 1,841 1,967 2,104 2,248 3,682 3,934 7,364 7,868 14,728 15,736 73,903 147,806 295,612 517,321 591,224 1,034,642 2,069,284 4,138,568

Collatz Trajectory (79 steps to reach 1)

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

4,138,568 2,069,284 1,034,642 517,321 1,551,964 775,982 387,991 1,163,974 581,987 1,745,962 872,981 2,618,944 1,309,472 654,736 327,368 163,684 81,842 40,921 122,764 61,382 30,691 92,074 46,037 138,112 69,056 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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