333,445

5 × 7² × 1361

333,445 is odd and not a perfect square. Its factorization is 5 × 7^2 × 1361 and its 12 divisors sum to 465,804.

Prime Factor Structure

Factorization String 5 × 7^2 × 1361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 465,804

Proper Divisor Sum 132,359

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #333439 ← → #333449

Radix Representation

Decimal	333445
Binary	1010001011010000101 (19 bits)
Octal	0o1213205
Hexadecimal	0x51685

Divisor Catalog (12)

1 5 7 35 49 245 1,361 6,805 9,527 47,635 66,689 333,445

Collatz Trajectory (140 steps to reach 1)

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

333,445 1,000,336 500,168 250,084 125,042 62,521 187,564 93,782 46,891 140,674 70,337 211,012 105,506 52,753 158,260 79,130 39,565 118,696 59,348 29,674 14,837 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119

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