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Atlas › Integer Profiles › Node 17,568,596

17,568,596

22 × 23 × 43 × 4441
Deficient Even Composite

17,568,596 factors as 2^2 × 23 × 43 × 4441. Its 24 positive divisors give a proper-divisor sum of 15,266,668, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 43 × 4441
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,835,264
Proper Divisor Sum 15,266,668
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #17568589 ← → #17568601

Radix Representation

Decimal 17568596
Binary 1000011000001001101010100 (25 bits)
Octal 0o103011524
Hexadecimal 0x10C1354

Divisor Catalog (24)

1 2 4 23 43 46 86 92 172 989 1,978 3,956 4,441 8,882 17,764 102,143 190,963 204,286 381,926 408,572 763,852 4,392,149 8,784,298 17,568,596

Collatz Trajectory (182 steps to reach 1)

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

17,568,596 8,784,298 4,392,149 13,176,448 6,588,224 3,294,112 1,647,056 823,528 411,764 205,882 102,941 308,824 154,412 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098

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