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Atlas › Integer Profiles › Node 24,282,940

24,282,940

22 × 5 × 11 × 23 × 4799
Abundant Even Composite

24,282,940 factors as 2^2 × 5 × 11 × 23 × 4799. Its 48 positive divisors give a proper-divisor sum of 33,777,860, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 4799
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,060,800
Proper Divisor Sum 33,777,860
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #24282887 ← → #24282943

Radix Representation

Decimal 24282940
Binary 1011100101000011100111100 (25 bits)
Octal 0o134503474
Hexadecimal 0x172873C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1,012 1,265 2,530 4,799 5,060 9,598 19,196 23,995 47,990 52,789 95,980 105,578 110,377 211,156 220,754 263,945 441,508 527,890 551,885 1,055,780 1,103,770 1,214,147 2,207,540 2,428,294 4,856,588 6,070,735 12,141,470 24,282,940

Collatz Trajectory (123 steps to reach 1)

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

24,282,940 12,141,470 6,070,735 18,212,206 9,106,103 27,318,310 13,659,155 40,977,466 20,488,733 61,466,200 30,733,100 15,366,550 7,683,275 23,049,826 11,524,913 34,574,740 17,287,370 8,643,685 25,931,056 12,965,528 6,482,764 3,241,382 1,620,691 4,862,074 2,431,037 7,293,112 3,646,556 1,823,278 911,639 2,734,918 1,367,459 4,102,378 2,051,189 6,153,568 3,076,784 1,538,392 769,196 384,598 192,299 576,898 288,449 865,348 432,674 216,337 649,012 324,506 162,253 486,760 243,380 121,690 60,845 182,536 91,268 45,634 22,817 68,452 34,226 17,113 51,340 25,670

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