λ
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6,275,632

24 × 11 × 181 × 197
Abundant Even Composite

6,275,632 factors as 2^4 × 11 × 181 × 197. Its 40 positive divisors give a proper-divisor sum of 7,129,760, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 181 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,405,392
Proper Divisor Sum 7,129,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6275627 ← → #6275641

Radix Representation

Decimal 6275632
Binary 10111111100001000110000 (23 bits)
Octal 0o27741060
Hexadecimal 0x5FC230

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 181 197 362 394 724 788 1,448 1,576 1,991 2,167 2,896 3,152 3,982 4,334 7,964 8,668 15,928 17,336 31,856 34,672 35,657 71,314 142,628 285,256 392,227 570,512 784,454 1,568,908 3,137,816 6,275,632

Collatz Trajectory (72 steps to reach 1)

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

6,275,632 3,137,816 1,568,908 784,454 392,227 1,176,682 588,341 1,765,024 882,512 441,256 220,628 110,314 55,157 165,472 82,736 41,368 20,684 10,342 5,171 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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