10001 (number) facts for kids

Quick facts for kids ← 10000 10001 10002 →
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Cardinal	ten thousand one
Ordinal	10001st (ten thousand first)
Factorization	73 × 137
Greek numeral	͵α´
Roman numeral	Template:Roman/2I
Binary	100111000100012
Ternary	1112011023
Senary	1141456
Octal	234218
Duodecimal	595512
Hexadecimal	271116

The number 10001 is a natural number, which means it's one of the counting numbers you use every day, like 1, 2, 3, and so on. It comes right after 10000 and just before 10002. 10001 is a special kind of number called a palindromic number. This means it reads the same forwards and backwards, just like the word 'madam'. It's also a composite number, which means it can be divided evenly by numbers other than 1 and itself. You can get 10001 by multiplying 73 by 137.

What Makes 10001 Unique?

Palindromic Power

Imagine writing 10001 on a piece of paper. If you read it from left to right, it's "one-zero-zero-zero-one." Now, if you read it from right to left, it's still "one-zero-zero-one." Numbers that read the same forwards and backwards are called palindromic numbers. They are quite fun to find!

Composite Nature

A composite number is a whole number that has more than two factors (divisors). This means you can divide it evenly by numbers other than 1 and itself. For example, 6 is a composite number because it can be divided by 1, 2, 3, and 6. The number 10001 is composite because it can be divided by 73 and 137, as well as by 1 and 10001.

The Amazing 10001 Multiplication Trick

Did you know that 10001 has a cool trick when you multiply it by other numbers? If you multiply any four-digit number (like 1234 or 5678) by 10001, you'll always get a number that looks like abcdabcd.

For example:

• If you multiply 1234 by 10001, you get 12341234.
• If you multiply 5678 by 10001, you get 56785678.

This happens because 10001 can be written as (100 × 100 + 1). When you multiply a four-digit number (let's call it abcd) by 10001, it's like doing abcd × (10000 + 1). This equals (abcd × 10000) + (abcd × 1), which gives you abcd0000 + abcd. When you add these together, you get abcdabcd.

Divisibility by 73 and 137

Because of this trick, any number that looks like abcdabcd (like 12341234 or 56785678) will always be divisible by 73 and 137. This is because 10001 is equal to 73 multiplied by 137 (73 × 137 = 10001). So, if a number is a multiple of 10001, it must also be a multiple of 73 and 137!