The number 79008
79008 is a composite number with 24 divisors. Its prime factorisation is × 3 × 823. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292 … 79008.
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How to work it out
- 1
What is special about 79008: a Harshad number: divisible by its digit sum 24.
- 2
79008 is composite. Its prime factorisation is
- 3
The divisors add up to 207648; without 79008 itself that is 128640, so 79008 is abundant (128640 is more than 79008). Euler's totient φ(79008) = 26304 numbers up to 79008 share no factor with it.
- 4
The digits of 79008 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79008 = 2^{5} \times 3 \times 823 \]79008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 207648 |
| Euler totient φ(n) | 26304 |
| Square | 6242264064 |
| Cube | 493188799168512 |
| Square root | 281.083617 (= 4√4938) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.9008 × |
79008 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand and eight |
| Binary (base 2) | 10011010010100000 |
| Octal (base 8) | 232240 |
| Hexadecimal (base 16) | 134A0 |
| Base 3 | 11000101020 |
| As time | 79008 seconds = 21 h 56 min 48 s |
Is 79008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79008 ÷ 2 = 39504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (79008 ÷ 3 = 26336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (79008 ÷ 4 = 19752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (79008 ÷ 6 = 13168) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (79008 ÷ 8 = 9876) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (79008 ÷ 12 = 6584) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79008 a prime number?
No. 79008 = × 3 × 823, so it is divisible by 2.
What are the factors of 79008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752, 26336, 39504, 79008.
What is 79008 in binary?
10011010010100000 (hexadecimal 134A0, octal 232240).
What is the square root of 79008?
About 281.0836, exactly 4√4938.
Is 79008 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 79008?
79008 is a Harshad number: divisible by its digit sum 24.