The number 97372
97372 is a composite number with 12 divisors. Its prime factorisation is × 11 × 2213. Divisors (12): 1, 2, 4, 11, 22, 44, 2213, 4426, 8852, 24343, 48686, 97372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97372: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97372 is composite. Its prime factorisation is
- 3
The divisors add up to 185976; without 97372 itself that is 88604, so 97372 is deficient (88604 is less than 97372). Euler's totient φ(97372) = 44240 numbers up to 97372 share no factor with it.
- 4
The digits of 97372 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97372 = 2^{2} \times 11 \times 2213 \]97372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 185976 |
| Euler totient φ(n) | 44240 |
| Square | 9481306384 |
| Cube | 923213765222848 |
| Square root | 312.044869 (= 2√24343) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7372 × |
97372 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seventy-two |
| Binary (base 2) | 10111110001011100 |
| Octal (base 8) | 276134 |
| Hexadecimal (base 16) | 17C5C |
| Base 3 | 11221120101 |
| As time | 97372 seconds = 27 h 2 min 52 s |
Is 97372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97372 ÷ 2 = 48686) | 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 (97372 ÷ 4 = 24343) | 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 1) | 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 | Yes (97372 ÷ 11 = 8852) | 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 97372 a prime number?
No. 97372 = × 11 × 2213, so it is divisible by 2.
What are the factors of 97372?
1, 2, 4, 11, 22, 44, 2213, 4426, 8852, 24343, 48686, 97372.
What is 97372 in binary?
10111110001011100 (hexadecimal 17C5C, octal 276134).
What is the square root of 97372?
About 312.0449, exactly 2√24343.
Is 97372 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97372?
97372 is a happy number: repeatedly adding the squares of its digits reaches 1.