The number 97440
97440 is a composite number with 96 divisors. Its prime factorisation is × 3 × 5 × 7 × 29. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24 … 97440.
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How to work it out
- 1
What is special about 97440: a Harshad number: divisible by its digit sum 24.
- 2
97440 is composite. Its prime factorisation is
- 3
The divisors add up to 362880; without 97440 itself that is 265440, so 97440 is abundant (265440 is more than 97440). Euler's totient φ(97440) = 21504 numbers up to 97440 share no factor with it.
- 4
The digits of 97440 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97440 = 2^{5} \times 3 \times 5 \times 7 \times 29 \]97440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 362880 |
| Euler totient φ(n) | 21504 |
| Square | 9494553600 |
| Cube | 925149302784000 |
| Square root | 312.153808 (= 4√6090) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.744 × |
97440 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and forty |
| Binary (base 2) | 10111110010100000 |
| Octal (base 8) | 276240 |
| Hexadecimal (base 16) | 17CA0 |
| Base 3 | 11221122220 |
| As time | 97440 seconds = 27 h 4 min 0 s |
Is 97440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97440 ÷ 2 = 48720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97440 ÷ 3 = 32480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97440 ÷ 4 = 24360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97440 ÷ 5 = 19488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97440 ÷ 6 = 16240) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97440 ÷ 7 = 13920) | 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 (97440 ÷ 8 = 12180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97440 ÷ 10 = 9744) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97440 ÷ 12 = 8120) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97440 a prime number?
No. 97440 = × 3 × 5 × 7 × 29, so it is divisible by 2.
What are the factors of 97440?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 32, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 96, 105, 112, 116, 120, 140, 145, 160, 168, 174, 203, 210, 224, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 480, 560, 580, 609, 672, 696, 812, 840, 870, 928, 1015, 1120, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 2784, 3045, 3248, 3360, 3480, 4060, 4640, 4872, 6090, 6496, 6960, 8120, 9744, 12180, 13920, 16240, 19488, 24360, 32480, 48720, 97440.
What is 97440 in binary?
10111110010100000 (hexadecimal 17CA0, octal 276240).
What is the square root of 97440?
About 312.1538, exactly 4√6090.
Is 97440 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97440?
97440 is a Harshad number: divisible by its digit sum 24.