The number 13372
13372 is a composite number with 6 divisors. Its prime factorisation is × 3343. Divisors (6): 1, 2, 4, 3343, 6686, 13372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13372 is composite. Its prime factorisation is
- 3
The divisors add up to 23408; without 13372 itself that is 10036, so 13372 is deficient (10036 is less than 13372). Euler's totient φ(13372) = 6684 numbers up to 13372 share no factor with it.
- 4
The digits of 13372 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13372 = 2^{2} \times 3343 \]13372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23408 |
| Euler totient φ(n) | 6684 |
| Square | 178810384 |
| Cube | 2391052454848 |
| Square root | 115.637364 (= 2√3343) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3372 × |
13372 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and seventy-two |
| Binary (base 2) | 11010000111100 |
| Octal (base 8) | 32074 |
| Hexadecimal (base 16) | 343C |
| Base 3 | 200100021 |
| As time | 13372 seconds = 3 h 42 min 52 s |
Is 13372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13372 ÷ 2 = 6686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13372 ÷ 4 = 3343) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13372 a prime number?
No. 13372 = × 3343, so it is divisible by 2.
What are the factors of 13372?
1, 2, 4, 3343, 6686, 13372.
What is 13372 in binary?
11010000111100 (hexadecimal 343C, octal 32074).
What is the square root of 13372?
About 115.6374, exactly 2√3343.
Is 13372 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13372?
It is a composite number with 6 divisors.