λ
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Atlas › Integer Profiles › Node 4,006,186

4,006,186

2 × 17 × 23 × 47 × 109
Deficient Even Composite

4,006,186 factors as 2 × 17 × 23 × 47 × 109. Its 32 positive divisors give a proper-divisor sum of 2,836,694, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 47 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,842,880
Proper Divisor Sum 2,836,694
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4006183 ← → #4006201

Radix Representation

Decimal 4006186
Binary 1111010010000100101010 (22 bits)
Octal 0o17220452
Hexadecimal 0x3D212A

Divisor Catalog (32)

1 2 17 23 34 46 47 94 109 218 391 782 799 1,081 1,598 1,853 2,162 2,507 3,706 5,014 5,123 10,246 18,377 36,754 42,619 85,238 87,091 117,829 174,182 235,658 2,003,093 4,006,186

Collatz Trajectory (92 steps to reach 1)

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

4,006,186 2,003,093 6,009,280 3,004,640 1,502,320 751,160 375,580 187,790 93,895 281,686 140,843 422,530 211,265 633,796 316,898 158,449 475,348 237,674 118,837 356,512 178,256 89,128 44,564 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118

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