The number 79002
79002 is a composite number with 64 divisors. Its prime factorisation is 2 × × 7 × 11 × 19. Divisors (64): 1, 2, 3, 6, 7, 9, 11, 14, 18, 19, 21, 22, 27, 33, 38, 42 … 79002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79002: a Harshad number: divisible by its digit sum 18.
- 2
79002 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 79002 itself that is 151398, so 79002 is abundant (151398 is more than 79002). Euler's totient φ(79002) = 19440 numbers up to 79002 share no factor with it.
- 4
The digits of 79002 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79002 = 2 \times 3^{3} \times 7 \times 11 \times 19 \]79002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 19440 |
| Square | 6241316004 |
| Cube | 493076446948008 |
| Square root | 281.072944 (= 3√8778) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.9002 × |
79002 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand and two |
| Binary (base 2) | 10011010010011010 |
| Octal (base 8) | 232232 |
| Hexadecimal (base 16) | 1349A |
| Base 3 | 11000101000 |
| As time | 79002 seconds = 21 h 56 min 42 s |
Is 79002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79002 ÷ 2 = 39501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (79002 ÷ 3 = 26334) | 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 | Yes (79002 ÷ 6 = 13167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (79002 ÷ 7 = 11286) | 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 | Yes (79002 ÷ 9 = 8778) | 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 | Yes (79002 ÷ 11 = 7182) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79002 a prime number?
No. 79002 = 2 × × 7 × 11 × 19, so it is divisible by 2.
What are the factors of 79002?
1, 2, 3, 6, 7, 9, 11, 14, 18, 19, 21, 22, 27, 33, 38, 42, 54, 57, 63, 66, 77, 99, 114, 126, 133, 154, 171, 189, 198, 209, 231, 266, 297, 342, 378, 399, 418, 462, 513, 594, 627, 693, 798, 1026, 1197, 1254, 1386, 1463, 1881, 2079, 2394, 2926, 3591, 3762, 4158, 4389, 5643, 7182, 8778, 11286, 13167, 26334, 39501, 79002.
What is 79002 in binary?
10011010010011010 (hexadecimal 1349A, octal 232232).
What is the square root of 79002?
About 281.0729, exactly 3√8778.
Is 79002 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 79002?
79002 is a Harshad number: divisible by its digit sum 18.