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Atlas › Integer Profiles › Node 14,906,490

14,906,490

2 × 3 × 5 × 131 × 3793
Abundant Even Composite

14,906,490 factors as 2 × 3 × 5 × 131 × 3793. Its 32 positive divisors give a proper-divisor sum of 21,151,686, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 131 × 3793
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,058,176
Proper Divisor Sum 21,151,686
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #14906483 ← → #14906497

Radix Representation

Decimal 14906490
Binary 111000110111010001111010 (24 bits)
Octal 0o70672172
Hexadecimal 0xE3747A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 131 262 393 655 786 1,310 1,965 3,793 3,930 7,586 11,379 18,965 22,758 37,930 56,895 113,790 496,883 993,766 1,490,649 2,484,415 2,981,298 4,968,830 7,453,245 14,906,490

Collatz Trajectory (143 steps to reach 1)

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

14,906,490 7,453,245 22,359,736 11,179,868 5,589,934 2,794,967 8,384,902 4,192,451 12,577,354 6,288,677 18,866,032 9,433,016 4,716,508 2,358,254 1,179,127 3,537,382 1,768,691 5,306,074 2,653,037 7,959,112 3,979,556 1,989,778 994,889 2,984,668 1,492,334 746,167 2,238,502 1,119,251 3,357,754 1,678,877 5,036,632 2,518,316 1,259,158 629,579 1,888,738 944,369 2,833,108 1,416,554 708,277 2,124,832 1,062,416 531,208 265,604 132,802 66,401 199,204 99,602 49,801 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547

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