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4,131,776

26 × 11 × 5869
Abundant Even Composite

4,131,776 factors as 2^6 × 11 × 5869. Its 28 positive divisors give a proper-divisor sum of 4,814,104, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 5869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,945,880
Proper Divisor Sum 4,814,104
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4131767 ← → #4131781

Radix Representation

Decimal 4131776
Binary 1111110000101111000000 (22 bits)
Octal 0o17605700
Hexadecimal 0x3F0BC0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 5,869 11,738 23,476 46,952 64,559 93,904 129,118 187,808 258,236 375,616 516,472 1,032,944 2,065,888 4,131,776

Collatz Trajectory (105 steps to reach 1)

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

4,131,776 2,065,888 1,032,944 516,472 258,236 129,118 64,559 193,678 96,839 290,518 145,259 435,778 217,889 653,668 326,834 163,417 490,252 245,126 122,563 367,690 183,845 551,536 275,768 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369

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