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Atlas › Integer Profiles › Node 14,602,016

14,602,016

25 × 11 × 13 × 3191
Abundant Even Composite

14,602,016 factors as 2^5 × 11 × 13 × 3191. Its 48 positive divisors give a proper-divisor sum of 19,182,112, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 3191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,784,128
Proper Divisor Sum 19,182,112
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #14602009 ← → #14602019

Radix Representation

Decimal 14602016
Binary 110111101100111100100000 (24 bits)
Octal 0o67547440
Hexadecimal 0xDECF20

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1,144 2,288 3,191 4,576 6,382 12,764 25,528 35,101 41,483 51,056 70,202 82,966 102,112 140,404 165,932 280,808 331,864 456,313 561,616 663,728 912,626 1,123,232 1,327,456 1,825,252 3,650,504 7,301,008 14,602,016

Collatz Trajectory (174 steps to reach 1)

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

14,602,016 7,301,008 3,650,504 1,825,252 912,626 456,313 1,368,940 684,470 342,235 1,026,706 513,353 1,540,060 770,030 385,015 1,155,046 577,523 1,732,570 866,285 2,598,856 1,299,428 649,714 324,857 974,572 487,286 243,643 730,930 365,465 1,096,396 548,198 274,099 822,298 411,149 1,233,448 616,724 308,362 154,181 462,544 231,272 115,636 57,818 28,909 86,728 43,364 21,682 10,841 32,524 16,262 8,131 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442

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