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17,513,188

22 × 72 × 11 × 8123
Abundant Even Composite

17,513,188 factors as 2^2 × 7^2 × 11 × 8123. Its 36 positive divisors give a proper-divisor sum of 21,384,524, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 8123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 38,897,712
Proper Divisor Sum 21,384,524
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17513183 ← → #17513207

Radix Representation

Decimal 17513188
Binary 1000010110011101011100100 (25 bits)
Octal 0o102635344
Hexadecimal 0x10B3AE4

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1,078 2,156 8,123 16,246 32,492 56,861 89,353 113,722 178,706 227,444 357,412 398,027 625,471 796,054 1,250,942 1,592,108 2,501,884 4,378,297 8,756,594 17,513,188

Collatz Trajectory (213 steps to reach 1)

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

17,513,188 8,756,594 4,378,297 13,134,892 6,567,446 3,283,723 9,851,170 4,925,585 14,776,756 7,388,378 3,694,189 11,082,568 5,541,284 2,770,642 1,385,321 4,155,964 2,077,982 1,038,991 3,116,974 1,558,487 4,675,462 2,337,731 7,013,194 3,506,597 10,519,792 5,259,896 2,629,948 1,314,974 657,487 1,972,462 986,231 2,958,694 1,479,347 4,438,042 2,219,021 6,657,064 3,328,532 1,664,266 832,133 2,496,400 1,248,200 624,100 312,050 156,025 468,076 234,038 117,019 351,058 175,529 526,588 263,294 131,647 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467

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