The number 87372
87372 is a composite number with 24 divisors. Its prime factorisation is × × 809. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 809, 1618, 2427, 3236 … 87372.
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How to work it out
- 1
What is special about 87372: a Harshad number: divisible by its digit sum 27.
- 2
87372 is composite. Its prime factorisation is
- 3
The divisors add up to 226800; without 87372 itself that is 139428, so 87372 is abundant (139428 is more than 87372). Euler's totient φ(87372) = 29088 numbers up to 87372 share no factor with it.
- 4
The digits of 87372 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87372 = 2^{2} \times 3^{3} \times 809 \]87372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 226800 |
| Euler totient φ(n) | 29088 |
| Square | 7633866384 |
| Cube | 666986173702848 |
| Square root | 295.587550 (= 6√2427) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7372 × |
87372 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and seventy-two |
| Binary (base 2) | 10101010101001100 |
| Octal (base 8) | 252514 |
| Hexadecimal (base 16) | 1554C |
| Base 3 | 11102212000 |
| As time | 87372 seconds = 24 h 16 min 12 s |
Is 87372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87372 ÷ 2 = 43686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87372 ÷ 3 = 29124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87372 ÷ 4 = 21843) | 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 | Yes (87372 ÷ 6 = 14562) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (87372 ÷ 9 = 9708) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87372 ÷ 12 = 7281) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87372 a prime number?
No. 87372 = × × 809, so it is divisible by 2.
What are the factors of 87372?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 809, 1618, 2427, 3236, 4854, 7281, 9708, 14562, 21843, 29124, 43686, 87372.
What is 87372 in binary?
10101010101001100 (hexadecimal 1554C, octal 252514).
What is the square root of 87372?
About 295.5876, exactly 6√2427.
Is 87372 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87372?
87372 is a Harshad number: divisible by its digit sum 27.