The number 87464
87464 is a composite number with 24 divisors. Its prime factorisation is × 13 × . Divisors (24): 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 841, 1508 … 87464.
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How to work it out
- 1
What is special about 87464: a Harshad number: divisible by its digit sum 29.
- 2
87464 is composite. Its prime factorisation is
- 3
The divisors add up to 182910; without 87464 itself that is 95446, so 87464 is abundant (95446 is more than 87464). Euler's totient φ(87464) = 38976 numbers up to 87464 share no factor with it.
- 4
The digits of 87464 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87464 = 2^{3} \times 13 \times 29^{2} \]87464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 182910 |
| Euler totient φ(n) | 38976 |
| Square | 7649951296 |
| Cube | 669095340153344 |
| Square root | 295.743132 (= 58√26) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7464 × |
87464 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and sixty-four |
| Binary (base 2) | 10101010110101000 |
| Octal (base 8) | 252650 |
| Hexadecimal (base 16) | 155A8 |
| Base 3 | 11102222102 |
| As time | 87464 seconds = 24 h 17 min 44 s |
Is 87464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87464 ÷ 2 = 43732) | 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 (87464 ÷ 4 = 21866) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (87464 ÷ 8 = 10933) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 87464 a prime number?
No. 87464 = × 13 × , so it is divisible by 2.
What are the factors of 87464?
1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 232, 377, 754, 841, 1508, 1682, 3016, 3364, 6728, 10933, 21866, 43732, 87464.
What is 87464 in binary?
10101010110101000 (hexadecimal 155A8, octal 252650).
What is the square root of 87464?
About 295.7431, exactly 58√26.
Is 87464 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87464?
87464 is a Harshad number: divisible by its digit sum 29.