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Atlas › Integer Profiles › Node 827,093

827,093

41 × 20173
Deficient Odd Composite

827,093 has the prime decomposition 41 × 20173. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 20173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 847,308
Proper Divisor Sum 20,215
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #827087 ← → #827129

Radix Representation

Decimal 827093
Binary 11001001111011010101 (20 bits)
Octal 0o3117325
Hexadecimal 0xC9ED5

Divisor Catalog (4)

1 41 20,173 827,093

Collatz Trajectory (82 steps to reach 1)

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

827,093 2,481,280 1,240,640 620,320 310,160 155,080 77,540 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

More profiles

2,293,061 603,350 6,112,551 9,662,098 7,499,210 6,565,296 9,930,208 5,406,373 1,175,570 2,152,501 7,829,112 206,328 9,496,675 8,714,382 7,499,333 2,342,883
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