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Atlas › Integer Profiles › Node 17,538,100

17,538,100

22 × 52 × 109 × 1609
Abundant Even Composite

17,538,100 factors as 2^2 × 5^2 × 109 × 1609. Its 36 positive divisors give a proper-divisor sum of 20,892,600, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 109 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 38,430,700
Proper Divisor Sum 20,892,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17538091 ← → #17538113

Radix Representation

Decimal 17538100
Binary 1000010111001110000110100 (25 bits)
Octal 0o102716064
Hexadecimal 0x10B9C34

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 109 218 436 545 1,090 1,609 2,180 2,725 3,218 5,450 6,436 8,045 10,900 16,090 32,180 40,225 80,450 160,900 175,381 350,762 701,524 876,905 1,753,810 3,507,620 4,384,525 8,769,050 17,538,100

Collatz Trajectory (174 steps to reach 1)

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

17,538,100 8,769,050 4,384,525 13,153,576 6,576,788 3,288,394 1,644,197 4,932,592 2,466,296 1,233,148 616,574 308,287 924,862 462,431 1,387,294 693,647 2,080,942 1,040,471 3,121,414 1,560,707 4,682,122 2,341,061 7,023,184 3,511,592 1,755,796 877,898 438,949 1,316,848 658,424 329,212 164,606 82,303 246,910 123,455 370,366 185,183 555,550 277,775 833,326 416,663 1,249,990 624,995 1,874,986 937,493 2,812,480 1,406,240 703,120 351,560 175,780 87,890 43,945 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239

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