1,052,847

3² × 19 × 47 × 131

1,052,847 factors as 3^2 × 19 × 47 × 131. Its 24 positive divisors give a proper-divisor sum of 594,513, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 47 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,647,360

Proper Divisor Sum 594,513

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1052819 ← → #1052851

Radix Representation

Decimal	1052847
Binary	100000001000010101111 (21 bits)
Octal	0o4010257
Hexadecimal	0x1010AF

Divisor Catalog (24)

Collatz Trajectory (227 steps to reach 1)

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

1,052,847 3,158,542 1,579,271 4,737,814 2,368,907 7,106,722 3,553,361 10,660,084 5,330,042 2,665,021 7,995,064 3,997,532 1,998,766 999,383 2,998,150 1,499,075 4,497,226 2,248,613 6,745,840 3,372,920 1,686,460 843,230 421,615 1,264,846 632,423 1,897,270 948,635 2,845,906 1,422,953 4,268,860 2,134,430 1,067,215 3,201,646 1,600,823 4,802,470 2,401,235 7,203,706 3,601,853 10,805,560 5,402,780 2,701,390 1,350,695 4,052,086 2,026,043 6,078,130 3,039,065 9,117,196 4,558,598 2,279,299 6,837,898 3,418,949 10,256,848 5,128,424 2,564,212 1,282,106 641,053 1,923,160 961,580 480,790 240,395

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