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304,980

22 × 3 × 5 × 13 × 17 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 17 × 23
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,016,064
Proper Divisor Sum 711,084
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #304979 ← → #304981

Radix Representation

Decimal 304980
Binary 1001010011101010100 (19 bits)
Octal 0o1123524
Hexadecimal 0x4A754

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 17 20 23 26 30 34 39 46 51 52 60 65 68 69 78 85 92 102 115 130 138 156 170 195 204 221 230 255 260 276 299 340 345 390 391 442 460 510 598 663 690 780 782 884 897 1,020 1,105 1,173 1,196 1,326

Collatz Trajectory (57 steps to reach 1)

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

304,980 152,490 76,245 228,736 114,368 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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