λ
Math Directory

159,021

32 × 17669
Deficient Odd Composite

159,021 factors as 3^2 × 17669. Its 6 positive divisors give a proper-divisor sum of 70,689, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3^2 × 17669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 229,710
Proper Divisor Sum 70,689
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #159017 ← → #159023

Radix Representation

Decimal 159021
Binary 100110110100101101 (18 bits)
Octal 0o466455
Hexadecimal 0x26D2D

Divisor Catalog (6)

1 3 9 17,669 53,007 159,021

Collatz Trajectory (77 steps to reach 1)

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

159,021 477,064 238,532 119,266 59,633 178,900 89,450 44,725 134,176 67,088 33,544 16,772 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29

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