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2,006,064

24 × 32 × 13931
Abundant Even Composite

2,006,064 factors as 2^4 × 3^2 × 13931. Its 30 positive divisors give a proper-divisor sum of 3,608,532, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13931
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 5,614,596
Proper Divisor Sum 3,608,532
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2006033 ← → #2006071

Radix Representation

Decimal 2006064
Binary 111101001110000110000 (21 bits)
Octal 0o7516060
Hexadecimal 0x1E9C30

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13,931 27,862 41,793 55,724 83,586 111,448 125,379 167,172 222,896 250,758 334,344 501,516 668,688 1,003,032 2,006,064

Collatz Trajectory (166 steps to reach 1)

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

2,006,064 1,003,032 501,516 250,758 125,379 376,138 188,069 564,208 282,104 141,052 70,526 35,263 105,790 52,895 158,686 79,343 238,030 119,015 357,046 178,523 535,570 267,785 803,356 401,678 200,839 602,518 301,259 903,778 451,889 1,355,668 677,834 338,917 1,016,752 508,376 254,188 127,094 63,547 190,642 95,321 285,964 142,982 71,491 214,474 107,237 321,712 160,856 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725

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