165,342

2 × 3 × 17 × 1621

165,342 factors as 2 × 3 × 17 × 1621. Its 16 positive divisors give a proper-divisor sum of 185,010, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 1621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 350,352

Proper Divisor Sum 185,010

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #165331 ← → #165343

Radix Representation

Decimal	165342
Binary	101000010111011110 (18 bits)
Octal	0o502736
Hexadecimal	0x285DE

Divisor Catalog (16)

1 2 3 6 17 34 51 102 1,621 3,242 4,863 9,726 27,557 55,114 82,671 165,342

Collatz Trajectory (121 steps to reach 1)

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

165,342 82,671 248,014 124,007 372,022 186,011 558,034 279,017 837,052 418,526 209,263 627,790 313,895 941,686 470,843 1,412,530 706,265 2,118,796 1,059,398 529,699 1,589,098 794,549 2,383,648 1,191,824 595,912 297,956 148,978 74,489 223,468 111,734 55,867 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298

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