1,188,366

2 × 3 × 37 × 53 × 101

1,188,366 factors as 2 × 3 × 37 × 53 × 101. Its 32 positive divisors give a proper-divisor sum of 1,323,282, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 53 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,511,648

Proper Divisor Sum 1,323,282

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1188361 ← → #1188377

Radix Representation

Decimal	1188366
Binary	100100010001000001110 (21 bits)
Octal	0o4421016
Hexadecimal	0x12220E

Divisor Catalog (32)

1 2 3 6 37 53 74 101 106 111 159 202 222 303 318 606 1,961 3,737 3,922 5,353 5,883 7,474 10,706 11,211 11,766 16,059 22,422 32,118 198,061 396,122 594,183 1,188,366

Collatz Trajectory (173 steps to reach 1)

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

1,188,366 594,183 1,782,550 891,275 2,673,826 1,336,913 4,010,740 2,005,370 1,002,685 3,008,056 1,504,028 752,014 376,007 1,128,022 564,011 1,692,034 846,017 2,538,052 1,269,026 634,513 1,903,540 951,770 475,885 1,427,656 713,828 356,914 178,457 535,372 267,686 133,843 401,530 200,765 602,296 301,148 150,574 75,287 225,862 112,931 338,794 169,397 508,192 254,096 127,048 63,524 31,762 15,881 47,644 23,822 11,911 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304 30,152 15,076 7,538

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