The number 73970
73970 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 569. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 569, 1138, 2845, 5690, 7397, 14794, 36985, 73970.
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How to work it out
- 1
What is special about 73970: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.
- 2
73970 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 73970 itself that is 69670, so 73970 is deficient (69670 is less than 73970). Euler's totient φ(73970) = 27264 numbers up to 73970 share no factor with it.
- 4
The digits of 73970 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73970 = 2 \times 5 \times 13 \times 569 \]
73970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 27264 |
| Square | 5471560900 |
| Cube | 404731359773000 |
| Square root | 271.974263 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.397 × |
73970 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and seventy |
| Binary (base 2) | 10010000011110010 |
| Octal (base 8) | 220362 |
| Hexadecimal (base 16) | 120F2 |
| Base 3 | 10202110122 |
| As time | 73970 seconds = 20 h 32 min 50 s |
Is 73970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73970 ÷ 2 = 36985) | 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 (73970 ÷ 5 = 14794) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73970 ÷ 10 = 7397) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73970 a prime number?
No. 73970 = 2 × 5 × 13 × 569, so it is divisible by 2.
What are the factors of 73970?
1, 2, 5, 10, 13, 26, 65, 130, 569, 1138, 2845, 5690, 7397, 14794, 36985, 73970.
What is 73970 in binary?
10010000011110010 (hexadecimal 120F2, octal 220362).
What is the square root of 73970?
About 271.9743.
Is 73970 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73970?
73970 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.