λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,812,980

29,812,980

22 × 3 × 5 × 131 × 3793
Abundant Even Composite

29,812,980 factors as 2^2 × 3 × 5 × 131 × 3793. Its 48 positive divisors give a proper-divisor sum of 54,322,764, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,135,744
Proper Divisor Sum 54,322,764
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #29812969 ← → #29812997

Radix Representation

Decimal 29812980
Binary 1110001101110100011110100 (25 bits)
Octal 0o161564364
Hexadecimal 0x1C6E8F4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1,310 1,572 1,965 2,620 3,793 3,930 7,586 7,860 11,379 15,172 18,965 22,758 37,930 45,516 56,895 75,860 113,790 227,580 496,883 993,766 1,490,649 1,987,532 2,484,415 2,981,298 4,968,830 5,962,596 7,453,245 9,937,660 14,906,490 29,812,980

Collatz Trajectory (144 steps to reach 1)

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

29,812,980 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

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,812,979 Browse Full Index Next Integer #29,812,981 →