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Atlas › Integer Profiles › Node 2,016,147

2,016,147

3 × 7 × 19 × 31 × 163
Deficient Odd Composite

2,016,147 factors as 3 × 7 × 19 × 31 × 163. Its 32 positive divisors give a proper-divisor sum of 1,342,573, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 31 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,358,720
Proper Divisor Sum 1,342,573
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2016139 ← → #2016181

Radix Representation

Decimal 2016147
Binary 111101100001110010011 (21 bits)
Octal 0o7541623
Hexadecimal 0x1EC393

Divisor Catalog (32)

1 3 7 19 21 31 57 93 133 163 217 399 489 589 651 1,141 1,767 3,097 3,423 4,123 5,053 9,291 12,369 15,159 21,679 35,371 65,037 96,007 106,113 288,021 672,049 2,016,147

Collatz Trajectory (91 steps to reach 1)

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

2,016,147 6,048,442 3,024,221 9,072,664 4,536,332 2,268,166 1,134,083 3,402,250 1,701,125 5,103,376 2,551,688 1,275,844 637,922 318,961 956,884 478,442 239,221 717,664 358,832 179,416 89,708 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132

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