The number 10053
10053 is a composite number with 6 divisors. Its prime factorisation is × 1117. Divisors (6): 1, 3, 9, 1117, 3351, 10053.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10053: a Harshad number: divisible by its digit sum 9.
- 2
10053 is composite. Its prime factorisation is
- 3
The divisors add up to 14534; without 10053 itself that is 4481, so 10053 is deficient (4481 is less than 10053). Euler's totient φ(10053) = 6696 numbers up to 10053 share no factor with it.
- 4
The digits of 10053 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10053 = 3^{2} \times 1117 \]10053 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 14534 |
| Euler totient φ(n) | 6696 |
| Square | 101062809 |
| Cube | 1015984418877 |
| Square root | 100.264650 (= 3√1117) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0053 × |
10053 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and fifty-three |
| Binary (base 2) | 10011101000101 |
| Octal (base 8) | 23505 |
| Hexadecimal (base 16) | 2745 |
| Base 3 | 111210100 |
| As time | 10053 seconds = 2 h 47 min 33 s |
Is 10053 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10053 ÷ 3 = 3351) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10053 ÷ 9 = 1117) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10053 a prime number?
No. 10053 = × 1117, so it is divisible by 3.
What are the factors of 10053?
1, 3, 9, 1117, 3351, 10053.
What is 10053 in binary?
10011101000101 (hexadecimal 2745, octal 23505).
What is the square root of 10053?
About 100.2646, exactly 3√1117.
Is 10053 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10053?
10053 is a Harshad number: divisible by its digit sum 9.