There’s beauty
in every number.
Some are prime. Some hold a pattern.
All it takes is a little curiosity to find the extraordinary.
Number Explorer.
One number. Many discoveries.
1,729
- Prime or composite?
- composite More than two positive divisors.
- Parity
- odd One left over when divided by 2.
- Digit sum
- 19 1 + 7 + 2 + 9
- Fibonacci number?
- No Outside the Fibonacci sequence.
- Positive divisors
- 8 Including 1 and the number itself.
- Perfect square?
- No Not the square of an integer.
7 × 13 × 19
The prime building blocks of your number.
- Binary BASE 2
- 11011000001
- Hexadecimal BASE 16
- 6C1
A pattern is just the beginning.
Follow a sequence.
Get lost in infinity.
Ordinary numbers.
Extraordinary stories.
Some numbers deserve
a second look.
An ordinary taxi. An extraordinary number.
The smallest number that is a sum of two positive cubes in two different ways.
A little rule with a long reach.
Add the previous two numbers. Repeat. Eventually, you meet 89.
The beauty of adding up to yourself.
Its smaller positive divisors return exactly what you started with.
All these roads lead to 6174.
Rearrange four digits, subtract, and discover a surprisingly reliable destination.
One step beyond a power of two.
Take two to the sixteenth power, add one, and find a prime.
A number made from its own digits.
Cube each of its three digits. Their sum reconstructs the original number.
Small enough to change nothing.
Multiply any number by one. It stays exactly itself.
The exception that proves itself.
Every other positive even number has an extra divisor. Two stands alone.
You don’t have to be a mathematician.
You just have to wonder.