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Atlas › Integer Profiles › Node 17,860,932

17,860,932

22 × 33 × 165379
Abundant Even Composite

17,860,932 factors as 2^2 × 3^3 × 165379. Its 24 positive divisors give a proper-divisor sum of 28,445,468, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 165379
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,306,400
Proper Divisor Sum 28,445,468
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17860907 ← → #17860937

Radix Representation

Decimal 17860932
Binary 1000100001000100101000100 (25 bits)
Octal 0o104104504
Hexadecimal 0x1108944

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 165,379 330,758 496,137 661,516 992,274 1,488,411 1,984,548 2,976,822 4,465,233 5,953,644 8,930,466 17,860,932

Collatz Trajectory (138 steps to reach 1)

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

17,860,932 8,930,466 4,465,233 13,395,700 6,697,850 3,348,925 10,046,776 5,023,388 2,511,694 1,255,847 3,767,542 1,883,771 5,651,314 2,825,657 8,476,972 4,238,486 2,119,243 6,357,730 3,178,865 9,536,596 4,768,298 2,384,149 7,152,448 3,576,224 1,788,112 894,056 447,028 223,514 111,757 335,272 167,636 83,818 41,909 125,728 62,864 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526

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