The number 73370
73370 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 11 × 23 × 29. Divisors (32): 1, 2, 5, 10, 11, 22, 23, 29, 46, 55, 58, 110, 115, 145, 230, 253 … 73370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73370 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 73370 itself that is 82150, so 73370 is abundant (82150 is more than 73370). Euler's totient φ(73370) = 24640 numbers up to 73370 share no factor with it.
- 4
The digits of 73370 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73370 = 2 \times 5 \times 11 \times 23 \times 29 \]
73370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 24640 |
| Square | 5383156900 |
| Cube | 394962221753000 |
| Square root | 270.868972 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.337 × |
73370 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and seventy |
| Binary (base 2) | 10001111010011010 |
| Octal (base 8) | 217232 |
| Hexadecimal (base 16) | 11E9A |
| Base 3 | 10201122102 |
| As time | 73370 seconds = 20 h 22 min 50 s |
Is 73370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73370 ÷ 2 = 36685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (73370 ÷ 5 = 14674) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73370 ÷ 10 = 7337) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73370 ÷ 11 = 6670) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73370 a prime number?
No. 73370 = 2 × 5 × 11 × 23 × 29, so it is divisible by 2.
What are the factors of 73370?
1, 2, 5, 10, 11, 22, 23, 29, 46, 55, 58, 110, 115, 145, 230, 253, 290, 319, 506, 638, 667, 1265, 1334, 1595, 2530, 3190, 3335, 6670, 7337, 14674, 36685, 73370.
What is 73370 in binary?
10001111010011010 (hexadecimal 11E9A, octal 217232).
What is the square root of 73370?
About 270.8690.
Is 73370 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73370?
It is a composite number with 32 divisors.