322,020

2² × 3² × 5 × 1789

322,020 factors as 2^2 × 3^2 × 5 × 1789. Its 36 positive divisors give a proper-divisor sum of 655,320, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 977,340

Proper Divisor Sum 655,320

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #322013 ← → #322037

Radix Representation

Decimal	322020
Binary	1001110100111100100 (19 bits)
Octal	0o1164744
Hexadecimal	0x4E9E4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1,789 3,578 5,367 7,156 8,945 10,734 16,101 17,890 21,468 26,835 32,202 35,780 53,670 64,404 80,505 107,340 161,010 322,020

Collatz Trajectory (122 steps to reach 1)

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

322,020 161,010 80,505 241,516 120,758 60,379 181,138 90,569 271,708 135,854 67,927 203,782 101,891 305,674 152,837 458,512 229,256 114,628 57,314 28,657 85,972 42,986 21,493 64,480 32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045

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