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Atlas › Integer Profiles › Node 3,673,088

3,673,088

210 × 17 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2^10 × 17 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 7,811,352
Proper Divisor Sum 4,138,264
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3673073 ← → #3673091

Radix Representation

Decimal 3673088
Binary 1110000000110000000000 (22 bits)
Octal 0o16006000
Hexadecimal 0x380C00

Divisor Catalog (44)

1 2 4 8 16 17 32 34 64 68 128 136 211 256 272 422 512 544 844 1,024 1,088 1,688 2,176 3,376 3,587 4,352 6,752 7,174 8,704 13,504 14,348 17,408 27,008 28,696 54,016 57,392 108,032 114,784 216,064 229,568 459,136 918,272 1,836,544 3,673,088

Collatz Trajectory (128 steps to reach 1)

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

3,673,088 1,836,544 918,272 459,136 229,568 114,784 57,392 28,696 14,348 7,174 3,587 10,762 5,381 16,144 8,072 4,036 2,018 1,009 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 1,186 593 1,780 890 445 1,336 668

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