The phrase "a week of exploring" is correct and usable in written English.
You can use it to describe a period of time dedicated to discovering new places or experiences, often in a travel context.
Example: "During our vacation, we had a week of exploring the beautiful landscapes of the national park."
Alternatives: "a week of adventure" or "a week of discovery."
In a week of exploring the city, from the windswept, near-deserted ramparts to the teeming, labyrinthine passageways of the Mandayi Bazaar, I never once felt threatened.
"There is easily a week of exploring you can do around Sydney Harbour and still find new experiences and lifelong memories every day," Tony Burke, the former Australian environment minister, said in a statement last spring.
In 2004, an episode was shot on location in Paris, and in March 2005, it was announced that an upcoming episode would be set in Ghana, as part of the BBC's "Africa lives" series, a week of programmes exploring African life and culture for UK audiences.
I booked flights in and out, giving myself a week to explore the city of my celluloid fantasies.
After several weeks of exploring a merger to shore up its weak financial status, the Museum of Contemporary Art in Los Angeles appears to have decided to try to go it alone, releasing a statement on Tuesday announcing its intention to stay independent.
By the time I boarded the taxi to Kennedy Airport, my notebook bulged with enough addresses and tips for three weeks of exploring.
Two weeks of exploring my grandmother's line led me to distant great-grandfathers who were conquistadors in New Spain, one who searched fruitlessly for El Dorado.
He required every senior executive to attend a week of classes in Arizona to explore new business models and assess the post-PC world.
Starting today, the Guardian's Europe season looks in depth at four European countries – with a week exploring every aspect of their cultures, economies and day-to-day lives.
Last year, we spent a week exploring the lack of a digital arts market with our #DIGART coverage, which featured a series of articles and guest posts from artists, curators, gallerists and more.
Over the course of a week, I explored the islands, which are thick with palm groves where brilliant turquoise and lime-green birds thrive.
