2,017,647

3² × 37 × 73 × 83

2,017,647 factors as 3^2 × 37 × 73 × 83. Its 24 positive divisors give a proper-divisor sum of 1,053,057, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 73 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,070,704

Proper Divisor Sum 1,053,057

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2017643 ← → #2017669

Radix Representation

Decimal	2017647
Binary	111101100100101101111 (21 bits)
Octal	0o7544557
Hexadecimal	0x1EC96F

Divisor Catalog (24)

1 3 9 37 73 83 111 219 249 333 657 747 2,701 3,071 6,059 8,103 9,213 18,177 24,309 27,639 54,531 224,183 672,549 2,017,647

Collatz Trajectory (91 steps to reach 1)

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

2,017,647 6,052,942 3,026,471 9,079,414 4,539,707 13,619,122 6,809,561 20,428,684 10,214,342 5,107,171 15,321,514 7,660,757 22,982,272 11,491,136 5,745,568 2,872,784 1,436,392 718,196 359,098 179,549 538,648 269,324 134,662 67,331 201,994 100,997 302,992 151,496 75,748 37,874 18,937 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800

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