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Atlas › Integer Profiles › Node 17,453,052

17,453,052

22 × 32 × 367 × 1321
Abundant Even Composite

17,453,052 factors as 2^2 × 3^2 × 367 × 1321. Its 36 positive divisors give a proper-divisor sum of 26,818,084, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 367 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 44,271,136
Proper Divisor Sum 26,818,084
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17453047 ← → #17453053

Radix Representation

Decimal 17453052
Binary 1000010100100111111111100 (25 bits)
Octal 0o102447774
Hexadecimal 0x10A4FFC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 367 734 1,101 1,321 1,468 2,202 2,642 3,303 3,963 4,404 5,284 6,606 7,926 11,889 13,212 15,852 23,778 47,556 484,807 969,614 1,454,421 1,939,228 2,908,842 4,363,263 5,817,684 8,726,526 17,453,052

Collatz Trajectory (319 steps to reach 1)

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

17,453,052 8,726,526 4,363,263 13,089,790 6,544,895 19,634,686 9,817,343 29,452,030 14,726,015 44,178,046 22,089,023 66,267,070 33,133,535 99,400,606 49,700,303 149,100,910 74,550,455 223,651,366 111,825,683 335,477,050 167,738,525 503,215,576 251,607,788 125,803,894 62,901,947 188,705,842 94,352,921 283,058,764 141,529,382 70,764,691 212,294,074 106,147,037 318,441,112 159,220,556 79,610,278 39,805,139 119,415,418 59,707,709 179,123,128 89,561,564 44,780,782 22,390,391 67,171,174 33,585,587 100,756,762 50,378,381 151,135,144 75,567,572 37,783,786 18,891,893 56,675,680 28,337,840 14,168,920 7,084,460 3,542,230 1,771,115 5,313,346 2,656,673 7,970,020 3,985,010

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