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Atlas › Integer Profiles › Node 17,513,850

17,513,850

2 × 3 × 52 × 53 × 2203
Abundant Even Composite

17,513,850 factors as 2 × 3 × 5^2 × 53 × 2203. Its 48 positive divisors give a proper-divisor sum of 26,760,102, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 53 × 2203
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,273,952
Proper Divisor Sum 26,760,102
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17513849 ← → #17513863

Radix Representation

Decimal 17513850
Binary 1000010110011110101111010 (25 bits)
Octal 0o102636572
Hexadecimal 0x10B3D7A

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1,325 1,590 2,203 2,650 3,975 4,406 6,609 7,950 11,015 13,218 22,030 33,045 55,075 66,090 110,150 116,759 165,225 233,518 330,450 350,277 583,795 700,554 1,167,590 1,751,385 2,918,975 3,502,770 5,837,950 8,756,925 17,513,850

Collatz Trajectory (200 steps to reach 1)

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

17,513,850 8,756,925 26,270,776 13,135,388 6,567,694 3,283,847 9,851,542 4,925,771 14,777,314 7,388,657 22,165,972 11,082,986 5,541,493 16,624,480 8,312,240 4,156,120 2,078,060 1,039,030 519,515 1,558,546 779,273 2,337,820 1,168,910 584,455 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851 1,109,554 554,777 1,664,332 832,166 416,083 1,248,250 624,125 1,872,376 936,188 468,094 234,047 702,142 351,071 1,053,214 526,607 1,579,822 789,911 2,369,734 1,184,867 3,554,602 1,777,301 5,331,904 2,665,952 1,332,976 666,488

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