The number 79000
79000 is a composite number with 32 divisors. Its prime factorisation is × × 79. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 125, 158, 200, 250 … 79000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79000: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
79000 is composite. Its prime factorisation is
- 3
The divisors add up to 187200; without 79000 itself that is 108200, so 79000 is abundant (108200 is more than 79000). Euler's totient φ(79000) = 31200 numbers up to 79000 share no factor with it.
- 4
The digits of 79000 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79000 = 2^{3} \times 5^{3} \times 79 \]79000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 187200 |
| Euler totient φ(n) | 31200 |
| Square | 6241000000 |
| Cube | 493039000000000 |
| Square root | 281.069386 (= 10√790) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.9 × |
79000 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand |
| Binary (base 2) | 10011010010011000 |
| Octal (base 8) | 232230 |
| Hexadecimal (base 16) | 13498 |
| Base 3 | 11000100221 |
| As time | 79000 seconds = 21 h 56 min 40 s |
Is 79000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79000 ÷ 2 = 39500) | 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 (79000 ÷ 4 = 19750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (79000 ÷ 5 = 15800) | 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 5) | 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 | Yes (79000 ÷ 8 = 9875) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (79000 ÷ 10 = 7900) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79000 a prime number?
No. 79000 = × × 79, so it is divisible by 2.
What are the factors of 79000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 125, 158, 200, 250, 316, 395, 500, 632, 790, 1000, 1580, 1975, 3160, 3950, 7900, 9875, 15800, 19750, 39500, 79000.
What is 79000 in binary?
10011010010011000 (hexadecimal 13498, octal 232230).
What is the square root of 79000?
About 281.0694, exactly 10√790.
Is 79000 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 79000?
79000 is a happy number: repeatedly adding the squares of its digits reaches 1.