It’s a speculation that often blows up around earnings season: Now would be a good time for Amazon to split its shares, as a prelude to getting into the Dow Jones Industrial Average.

One byproduct of the stock’s relentless surge is that it would take a big split to pull it off.

At more than $3,450, the online retailer’s shares trade far too high to be put in the Dow, where the price tag of the stock is what determines its weighting. Even a 10-for-1 split, taking the shares to around $345, wouldn’t make it a shoo-in.

“The main problem for the Dow index is that it’s price weighted so it matters what the price is — not the market cap,” said Chris Zaccarelli, chief investment officer for Independent Advisor Alliance.

(Unlike the Dow, which is akin to taking one share of each company and adding them to generate an index value, the wider S&P 500 Index weights each company’s impact based on its total market capitalization, not the price of a single share.)

The Dow is a 124-year-old stock gauge made up of 30 blue-chip companies that cover all industries except for transportation and utilities. Inclusion — or ejection — from the measure tends to make a splash: In August, Exxon Mobil, Pfizer and Raytheon Technologies were kicked out of the gauge, making way for Salesforce.com, Amgen and Honeywell International.

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A 10-for-1 split would make Amazon the Dow’s third-biggest weighting, behind UnitedHealth Group with a price tag of almost $400 and Goldman Sachs, recently trading near $350.

Keith Lerner, chief market strategist at Truist Advisory Services, says Amazon‘s potential inclusion would be more about prestige than anything else, considering the Dow is one of the most commonly quoted indexes.

“Getting into the Dow is symbolic more than anything and it just shows you that you are a leading company on a global stage and a leader in your industry,” he said, adding that a split could make its shares more accessible to retail investors.

Independent Advisor’s Zaccarelli agrees that should a potential split bring its per-share price down to between $100 and $300, it could make the stock more attractive to mom-and-pop investors. That’s because retail investors “do care what the actual dollar price of the stock is,” though institutional investors “could care less.”

To be sure, big stock splits are not unheard of when it comes to companies angling for a place in the Dow. Apple, for one, announced it was splitting its shares 7-for-1 in April 2014, nearly 11 months before being added.

The economic benefit from stock splits is almost nonexistent; it doesn’t change the value of the company or a stock owner’s holdings. But for retail investors who tend to shun high-priced shares, a stock that suddenly becomes cheaper on face value tends to draw interest, even if just temporarily. It’s perhaps one reason why stocks have historically outperformed the market right after a split announcement.

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After studying 450 splits among S&P 500 members over the past 20 years, Morgan Stanley found that the stocks tended to beat the market by a median 2.4% between the announcement and the effective date.

But inclusion in the index “hasn’t seemed to be a focus for some of the tech giants,” said Giorgio Caputo, senior fund manager at J O Hambro Capital Management. “They certainly don’t lack for index representation at this point.” The sector makes up 26.9% of the S&P 500, the index’s largest weighting.

Some investors were speculating the company could take its earnings announcement Thursday as an opportunity to announce a stock split, dividend or buyback program.

But it did none of that, instead focusing attention on how it would plow some of its hefty profit into expanding its infrastructure with more warehouses, data centers, trucks and vans.

Seattle Times business staff contributed to this report.