The number 88948
88948 is a composite number with 12 divisors. Its prime factorisation is × 37 × 601. Divisors (12): 1, 2, 4, 37, 74, 148, 601, 1202, 2404, 22237, 44474, 88948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88948: a Harshad number: divisible by its digit sum 37.
- 2
88948 is composite. Its prime factorisation is
- 3
The divisors add up to 160132; without 88948 itself that is 71184, so 88948 is deficient (71184 is less than 88948). Euler's totient φ(88948) = 43200 numbers up to 88948 share no factor with it.
- 4
The digits of 88948 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88948 = 2^{2} \times 37 \times 601 \]88948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160132 |
| Euler totient φ(n) | 43200 |
| Square | 7911746704 |
| Cube | 703734045827392 |
| Square root | 298.241513 (= 2√22237) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.8948 × |
88948 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and forty-eight |
| Binary (base 2) | 10101101101110100 |
| Octal (base 8) | 255564 |
| Hexadecimal (base 16) | 15B74 |
| Base 3 | 11112000101 |
| As time | 88948 seconds = 24 h 42 min 28 s |
Is 88948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88948 ÷ 2 = 44474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88948 ÷ 4 = 22237) | 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88948 a prime number?
No. 88948 = × 37 × 601, so it is divisible by 2.
What are the factors of 88948?
1, 2, 4, 37, 74, 148, 601, 1202, 2404, 22237, 44474, 88948.
What is 88948 in binary?
10101101101110100 (hexadecimal 15B74, octal 255564).
What is the square root of 88948?
About 298.2415, exactly 2√22237.
Is 88948 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 88948?
88948 is a Harshad number: divisible by its digit sum 37.