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Atlas › Integer Profiles › Node 17,529,225

17,529,225

3 × 52 × 7 × 173 × 193
Deficient Odd Composite

17,529,225 factors as 3 × 5^2 × 7 × 173 × 193. Its 48 positive divisors give a proper-divisor sum of 15,956,727, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 173 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,485,952
Proper Divisor Sum 15,956,727
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17529221 ← → #17529233

Radix Representation

Decimal 17529225
Binary 1000010110111100110001001 (25 bits)
Octal 0o102674611
Hexadecimal 0x10B7989

Divisor Catalog (48)

1 3 5 7 15 21 25 35 75 105 173 175 193 519 525 579 865 965 1,211 1,351 2,595 2,895 3,633 4,053 4,325 4,825 6,055 6,755 12,975 14,475 18,165 20,265 30,275 33,389 33,775 90,825 100,167 101,325 166,945 233,723 500,835 701,169 834,725 1,168,615 2,504,175 3,505,845 5,843,075 17,529,225

Collatz Trajectory (200 steps to reach 1)

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

17,529,225 52,587,676 26,293,838 13,146,919 39,440,758 19,720,379 59,161,138 29,580,569 88,741,708 44,370,854 22,185,427 66,556,282 33,278,141 99,834,424 49,917,212 24,958,606 12,479,303 37,437,910 18,718,955 56,156,866 28,078,433 84,235,300 42,117,650 21,058,825 63,176,476 31,588,238 15,794,119 47,382,358 23,691,179 71,073,538 35,536,769 106,610,308 53,305,154 26,652,577 79,957,732 39,978,866 19,989,433 59,968,300 29,984,150 14,992,075 44,976,226 22,488,113 67,464,340 33,732,170 16,866,085 50,598,256 25,299,128 12,649,564 6,324,782 3,162,391 9,487,174 4,743,587 14,230,762 7,115,381 21,346,144 10,673,072 5,336,536 2,668,268 1,334,134 667,067

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