λ
Sigma Notebook

6,532,308

22 × 32 × 29 × 6257
Abundant Even Composite

6,532,308 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 29 × 6257 and its 36 divisors sum to 17,084,340.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 6257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,084,340
Proper Divisor Sum 10,552,032
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6532291 ← → #6532319

Radix Representation

Decimal 6532308
Binary 11000111010110011010100 (23 bits)
Octal 0o30726324
Hexadecimal 0x63ACD4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 6,257 12,514 18,771 25,028 37,542 56,313 75,084 112,626 181,453 225,252 362,906 544,359 725,812 1,088,718 1,633,077 2,177,436 3,266,154 6,532,308

Collatz Trajectory (134 steps to reach 1)

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

6,532,308 3,266,154 1,633,077 4,899,232 2,449,616 1,224,808 612,404 306,202 153,101 459,304 229,652 114,826 57,413 172,240 86,120 43,060 21,530 10,765 32,296 16,148 8,074 4,037 12,112 6,056 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

More profiles

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