The number 97464
97464 is a composite number with 32 divisors. Its prime factorisation is × 3 × 31 × 131. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 131, 186, 248, 262 … 97464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97464 is composite. Its prime factorisation is
- 3
The divisors add up to 253440; without 97464 itself that is 155976, so 97464 is abundant (155976 is more than 97464). Euler's totient φ(97464) = 31200 numbers up to 97464 share no factor with it.
- 4
The digits of 97464 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97464 = 2^{3} \times 3 \times 31 \times 131 \]97464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 253440 |
| Euler totient φ(n) | 31200 |
| Square | 9499231296 |
| Cube | 925833079033344 |
| Square root | 312.192248 (= 2√24366) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7464 × |
97464 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and sixty-four |
| Binary (base 2) | 10111110010111000 |
| Octal (base 8) | 276270 |
| Hexadecimal (base 16) | 17CB8 |
| Base 3 | 11221200210 |
| As time | 97464 seconds = 27 h 4 min 24 s |
Is 97464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97464 ÷ 2 = 48732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97464 ÷ 3 = 32488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97464 ÷ 4 = 24366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97464 ÷ 6 = 16244) | 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 | Yes (97464 ÷ 8 = 12183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (97464 ÷ 12 = 8122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97464 a prime number?
No. 97464 = × 3 × 31 × 131, so it is divisible by 2.
What are the factors of 97464?
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 131, 186, 248, 262, 372, 393, 524, 744, 786, 1048, 1572, 3144, 4061, 8122, 12183, 16244, 24366, 32488, 48732, 97464.
What is 97464 in binary?
10111110010111000 (hexadecimal 17CB8, octal 276270).
What is the square root of 97464?
About 312.1922, exactly 2√24366.
Is 97464 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97464?
It is a composite number with 32 divisors.