The number 77070
77070 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 367. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 … 77070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77070: a Harshad number: divisible by its digit sum 21.
- 2
77070 is composite. Its prime factorisation is
- 3
The divisors add up to 211968; without 77070 itself that is 134898, so 77070 is abundant (134898 is more than 77070). Euler's totient φ(77070) = 17568 numbers up to 77070 share no factor with it.
- 4
The digits of 77070 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77070 = 2 \times 3 \times 5 \times 7 \times 367 \]
77070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 211968 |
| Euler totient φ(n) | 17568 |
| Square | 5939784900 |
| Cube | 457779222243000 |
| Square root | 277.614841 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.707 × |
77070 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and seventy |
| Binary (base 2) | 10010110100001110 |
| Octal (base 8) | 226416 |
| Hexadecimal (base 16) | 12D0E |
| Base 3 | 10220201110 |
| As time | 77070 seconds = 21 h 24 min 30 s |
Is 77070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77070 ÷ 2 = 38535) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77070 ÷ 3 = 25690) | 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 (77070 ÷ 5 = 15414) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77070 ÷ 6 = 12845) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77070 ÷ 7 = 11010) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77070 ÷ 10 = 7707) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 77070 a prime number?
No. 77070 = 2 × 3 × 5 × 7 × 367, so it is divisible by 2.
What are the factors of 77070?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 367, 734, 1101, 1835, 2202, 2569, 3670, 5138, 5505, 7707, 11010, 12845, 15414, 25690, 38535, 77070.
What is 77070 in binary?
10010110100001110 (hexadecimal 12D0E, octal 226416).
What is the square root of 77070?
About 277.6148.
Is 77070 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77070?
77070 is a Harshad number: divisible by its digit sum 21.