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Atlas › Integer Profiles › Node 24,200,084

24,200,084

22 × 73 × 179 × 463
Deficient Even Composite

24,200,084 factors as 2^2 × 73 × 179 × 463. Its 24 positive divisors give a proper-divisor sum of 19,063,276, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 179 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 43,263,360
Proper Divisor Sum 19,063,276
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #24200081 ← → #24200093

Radix Representation

Decimal 24200084
Binary 1011100010100001110010100 (25 bits)
Octal 0o134241624
Hexadecimal 0x1714394

Divisor Catalog (24)

1 2 4 73 146 179 292 358 463 716 926 1,852 13,067 26,134 33,799 52,268 67,598 82,877 135,196 165,754 331,508 6,050,021 12,100,042 24,200,084

Collatz Trajectory (123 steps to reach 1)

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

24,200,084 12,100,042 6,050,021 18,150,064 9,075,032 4,537,516 2,268,758 1,134,379 3,403,138 1,701,569 5,104,708 2,552,354 1,276,177 3,828,532 1,914,266 957,133 2,871,400 1,435,700 717,850 358,925 1,076,776 538,388 269,194 134,597 403,792 201,896 100,948 50,474 25,237 75,712 37,856 18,928 9,464 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268

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