The number 69980
69980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3499. Divisors (12): 1, 2, 4, 5, 10, 20, 3499, 6998, 13996, 17495, 34990, 69980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 69980: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
69980 is composite. Its prime factorisation is
- 3
The divisors add up to 147000; without 69980 itself that is 77020, so 69980 is abundant (77020 is more than 69980). Euler's totient φ(69980) = 27984 numbers up to 69980 share no factor with it.
- 4
The digits of 69980 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 69980 = 2^{2} \times 5 \times 3499 \]69980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147000 |
| Euler totient φ(n) | 27984 |
| Square | 4897200400 |
| Cube | 342706083992000 |
| Square root | 264.537332 (= 2√17495) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 6.998 × |
69980 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand nine hundred and eighty |
| Binary (base 2) | 10001000101011100 |
| Octal (base 8) | 210534 |
| Hexadecimal (base 16) | 1115C |
| Base 3 | 10112222212 |
| As time | 69980 seconds = 19 h 26 min 20 s |
Is 69980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (69980 ÷ 2 = 34990) | 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 | Yes (69980 ÷ 4 = 17495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (69980 ÷ 5 = 13996) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (69980 ÷ 10 = 6998) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 69980 a prime number?
No. 69980 = × 5 × 3499, so it is divisible by 2.
What are the factors of 69980?
1, 2, 4, 5, 10, 20, 3499, 6998, 13996, 17495, 34990, 69980.
What is 69980 in binary?
10001000101011100 (hexadecimal 1115C, octal 210534).
What is the square root of 69980?
About 264.5373, exactly 2√17495.
Is 69980 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 69980?
69980 is a happy number: repeatedly adding the squares of its digits reaches 1.