844,232

2³ × 105529

844,232 factors as 2^3 × 105529. Its 8 positive divisors give a proper-divisor sum of 738,718, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 105529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,582,950

Proper Divisor Sum 738,718

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #844201 ← → #844243

Radix Representation

Decimal	844232
Binary	11001110000111001000 (20 bits)
Octal	0o3160710
Hexadecimal	0xCE1C8

Divisor Catalog (8)

1 2 4 8 105,529 211,058 422,116 844,232

Collatz Trajectory (82 steps to reach 1)

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

844,232 422,116 211,058 105,529 316,588 158,294 79,147 237,442 118,721 356,164 178,082 89,041 267,124 133,562 66,781 200,344 100,172 50,086 25,043 75,130 37,565 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149

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