The number 73948
73948 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 139. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 139, 266, 278, 532, 556, 973 … 73948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73948: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73948 is composite. Its prime factorisation is
- 3
The divisors add up to 156800; without 73948 itself that is 82852, so 73948 is abundant (82852 is more than 73948). Euler's totient φ(73948) = 29808 numbers up to 73948 share no factor with it.
- 4
The digits of 73948 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73948 = 2^{2} \times 7 \times 19 \times 139 \]73948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156800 |
| Euler totient φ(n) | 29808 |
| Square | 5468306704 |
| Cube | 404370344147392 |
| Square root | 271.933815 (= 2√18487) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3948 × |
73948 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and forty-eight |
| Binary (base 2) | 10010000011011100 |
| Octal (base 8) | 220334 |
| Hexadecimal (base 16) | 120DC |
| Base 3 | 10202102211 |
| As time | 73948 seconds = 20 h 32 min 28 s |
Is 73948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73948 ÷ 2 = 36974) | 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 (73948 ÷ 4 = 18487) | 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 | Yes (73948 ÷ 7 = 10564) | 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 4) | 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 6) | 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 73948 a prime number?
No. 73948 = × 7 × 19 × 139, so it is divisible by 2.
What are the factors of 73948?
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 139, 266, 278, 532, 556, 973, 1946, 2641, 3892, 5282, 10564, 18487, 36974, 73948.
What is 73948 in binary?
10010000011011100 (hexadecimal 120DC, octal 220334).
What is the square root of 73948?
About 271.9338, exactly 2√18487.
Is 73948 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73948?
73948 is a happy number: repeatedly adding the squares of its digits reaches 1.