264,330

2 × 3³ × 5 × 11 × 89

264,330 is even and not a perfect square. Its factorization is 2 × 3^3 × 5 × 11 × 89 and its 64 divisors sum to 777,600.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 777,600

Proper Divisor Sum 513,270

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #264323 ← → #264331

Radix Representation

Decimal	264330
Binary	1000000100010001010 (19 bits)
Octal	0o1004212
Hexadecimal	0x4088A

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 89 90 99 110 135 165 178 198 267 270 297 330 445 495 534 594 801 890 979 990 1,335 1,485 1,602 1,958 2,403 2,670 2,937 2,970 4,005 4,806 4,895 5,874 8,010 8,811 9,790 12,015 14,685 17,622 24,030 26,433 29,370 44,055

Collatz Trajectory (194 steps to reach 1)

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

264,330 132,165 396,496 198,248 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073

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