159,642

2 × 3² × 7² × 181

159,642 factors as 2 × 3^2 × 7^2 × 181. Its 36 positive divisors give a proper-divisor sum of 244,944, so this integer is abundant. The Collatz stopping time is 46 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 404,586

Proper Divisor Sum 244,944

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #159631 ← → #159667

Radix Representation

Decimal	159642
Binary	100110111110011010 (18 bits)
Octal	0o467632
Hexadecimal	0x26F9A

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 181 294 362 441 543 882 1,086 1,267 1,629 2,534 3,258 3,801 7,602 8,869 11,403 17,738 22,806 26,607 53,214 79,821 159,642

Collatz Trajectory (46 steps to reach 1)

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

159,642 79,821 239,464 119,732 59,866 29,933 89,800 44,900 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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