180,945

3² × 5 × 4021

180,945 is odd and not a perfect square. Its factorization is 3^2 × 5 × 4021 and its 12 divisors sum to 313,716.

Prime Factor Structure

Factorization String 3^2 × 5 × 4021

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 313,716

Proper Divisor Sum 132,771

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #180907 ← → #180949

Radix Representation

Decimal	180945
Binary	101100001011010001 (18 bits)
Octal	0o541321
Hexadecimal	0x2C2D1

Divisor Catalog (12)

1 3 5 9 15 45 4,021 12,063 20,105 36,189 60,315 180,945

Collatz Trajectory (103 steps to reach 1)

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

180,945 542,836 271,418 135,709 407,128 203,564 101,782 50,891 152,674 76,337 229,012 114,506 57,253 171,760 85,880 42,940 21,470 10,735 32,206 16,103 48,310 24,155 72,466 36,233 108,700 54,350 27,175 81,526 40,763 122,290 61,145 183,436 91,718 45,859 137,578 68,789 206,368 103,184 51,592 25,796 12,898 6,449 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150

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