871,200

2⁵ × 3² × 5² × 11²

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 162

Divisor Sum (σ) 3,376,737

Proper Divisor Sum 2,505,537

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #871181 ← → #871229

Radix Representation

Decimal	871200
Binary	11010100101100100000 (20 bits)
Octal	0o3245440
Hexadecimal	0xD4B20

Divisor Catalog (60 of 162)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 66 72 75 80 88 90 96 99 100 110 120 121 132 144 150 160 165 176 180 198 200 220 225 240 242 264 275 288 300 330 352

Collatz Trajectory (95 steps to reach 1)

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

871,200 435,600 217,800 108,900 54,450 27,225 81,676 40,838 20,419 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 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

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