The number 5372
5372 is a composite number with 12 divisors. Its prime factorisation is × 17 × 79. Divisors (12): 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5372: a Harshad number: divisible by its digit sum 17.
- 2
5372 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5372 itself that is 4708, so 5372 is deficient (4708 is less than 5372). Euler's totient φ(5372) = 2496 numbers up to 5372 share no factor with it.
- 4
The digits of 5372 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5372 = 2^{2} \times 17 \times 79 \]5372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2496 |
| Square | 28858384 |
| Cube | 155027238848 |
| Square root | 73.293929 (= 2√1343) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.372 × |
5372 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and seventy-two |
| Binary (base 2) | 1010011111100 |
| Octal (base 8) | 12374 |
| Hexadecimal (base 16) | 14FC |
| Base 3 | 21100222 |
| As time | 5372 seconds = 1 h 29 min 32 s |
Is 5372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5372 ÷ 2 = 2686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5372 ÷ 4 = 1343) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5372 a prime number?
No. 5372 = × 17 × 79, so it is divisible by 2.
What are the factors of 5372?
1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372.
What is 5372 in binary?
1010011111100 (hexadecimal 14FC, octal 12374).
What is the square root of 5372?
About 73.2939, exactly 2√1343.
Is 5372 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5372?
5372 is a Harshad number: divisible by its digit sum 17.