The number 72442
72442 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 1249. Divisors (8): 1, 2, 29, 58, 1249, 2498, 36221, 72442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72442 is composite. Its prime factorisation is
- 3
The divisors add up to 112500; without 72442 itself that is 40058, so 72442 is deficient (40058 is less than 72442). Euler's totient φ(72442) = 34944 numbers up to 72442 share no factor with it.
- 4
The digits of 72442 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72442 = 2 \times 29 \times 1249 \]
72442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112500 |
| Euler totient φ(n) | 34944 |
| Square | 5247843364 |
| Cube | 380164268974888 |
| Square root | 269.150516 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2442 × |
72442 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and forty-two |
| Binary (base 2) | 10001101011111010 |
| Octal (base 8) | 215372 |
| Hexadecimal (base 16) | 11AFA |
| Base 3 | 10200101001 |
| As time | 72442 seconds = 20 h 7 min 22 s |
Is 72442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72442 ÷ 2 = 36221) | 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 | No (remainder 2) | 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 | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72442 a prime number?
No. 72442 = 2 × 29 × 1249, so it is divisible by 2.
What are the factors of 72442?
1, 2, 29, 58, 1249, 2498, 36221, 72442.
What is 72442 in binary?
10001101011111010 (hexadecimal 11AFA, octal 215372).
What is the square root of 72442?
About 269.1505.
Is 72442 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72442?
It is a composite number with 8 divisors.