330,084

2² × 3² × 53 × 173

330,084 factors as 2^2 × 3^2 × 53 × 173. Its 36 positive divisors give a proper-divisor sum of 524,952, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 53 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 855,036

Proper Divisor Sum 524,952

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #330067 ← → #330097

Radix Representation

Decimal	330084
Binary	1010000100101100100 (19 bits)
Octal	0o1204544
Hexadecimal	0x50964

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 53 106 159 173 212 318 346 477 519 636 692 954 1,038 1,557 1,908 2,076 3,114 6,228 9,169 18,338 27,507 36,676 55,014 82,521 110,028 165,042 330,084

Collatz Trajectory (122 steps to reach 1)

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

330,084 165,042 82,521 247,564 123,782 61,891 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666 22,333 67,000 33,500 16,750 8,375 25,126 12,563

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