11,382,000

2⁴ × 3 × 5³ × 7 × 271

11,382,000 factors as 2^4 × 3 × 5^3 × 7 × 271. Its 160 positive divisors give a proper-divisor sum of 30,710,544, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 7 × 271

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 42,092,544

Proper Divisor Sum 30,710,544

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #11381989 ← → #11382011

Radix Representation

Decimal	11382000
Binary	101011011010110011110000 (24 bits)
Octal	0o53326360
Hexadecimal	0xADACF0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 271 280 300 336 350 375 400 420 500 525 542 560 600 700 750 813 840

Collatz Trajectory (158 steps to reach 1)

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

11,382,000 5,691,000 2,845,500 1,422,750 711,375 2,134,126 1,067,063 3,201,190 1,600,595 4,801,786 2,400,893 7,202,680 3,601,340 1,800,670 900,335 2,701,006 1,350,503 4,051,510 2,025,755 6,077,266 3,038,633 9,115,900 4,557,950 2,278,975 6,836,926 3,418,463 10,255,390 5,127,695 15,383,086 7,691,543 23,074,630 11,537,315 34,611,946 17,305,973 51,917,920 25,958,960 12,979,480 6,489,740 3,244,870 1,622,435 4,867,306 2,433,653 7,300,960 3,650,480 1,825,240 912,620 456,310 228,155 684,466 342,233 1,026,700 513,350 256,675 770,026 385,013 1,155,040 577,520 288,760 144,380 72,190

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