The number 87948
87948 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 349. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 87948.
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How to work it out
- 1
What is special about 87948: a Harshad number: divisible by its digit sum 36.
- 2
87948 is composite. Its prime factorisation is
- 3
The divisors add up to 254800; without 87948 itself that is 166852, so 87948 is abundant (166852 is more than 87948). Euler's totient φ(87948) = 25056 numbers up to 87948 share no factor with it.
- 4
The digits of 87948 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87948 = 2^{2} \times 3^{2} \times 7 \times 349 \]87948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 254800 |
| Euler totient φ(n) | 25056 |
| Square | 7734850704 |
| Cube | 680264649715392 |
| Square root | 296.560281 (= 6√2443) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7948 × |
87948 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and forty-eight |
| Binary (base 2) | 10101011110001100 |
| Octal (base 8) | 253614 |
| Hexadecimal (base 16) | 1578C |
| Base 3 | 11110122100 |
| As time | 87948 seconds = 24 h 25 min 48 s |
Is 87948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87948 ÷ 2 = 43974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87948 ÷ 3 = 29316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87948 ÷ 4 = 21987) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87948 ÷ 6 = 14658) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87948 ÷ 7 = 12564) | 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 (87948 ÷ 9 = 9772) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (87948 ÷ 12 = 7329) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87948 a prime number?
No. 87948 = × × 7 × 349, so it is divisible by 2.
What are the factors of 87948?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 349, 698, 1047, 1396, 2094, 2443, 3141, 4188, 4886, 6282, 7329, 9772, 12564, 14658, 21987, 29316, 43974, 87948.
What is 87948 in binary?
10101011110001100 (hexadecimal 1578C, octal 253614).
What is the square root of 87948?
About 296.5603, exactly 6√2443.
Is 87948 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87948?
87948 is a Harshad number: divisible by its digit sum 36.