The number 76700
76700 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 59. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 59, 65, 100, 118, 130 … 76700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76700: a Harshad number: divisible by its digit sum 20.
- 2
76700 is composite. Its prime factorisation is
- 3
The divisors add up to 182280; without 76700 itself that is 105580, so 76700 is abundant (105580 is more than 76700). Euler's totient φ(76700) = 27840 numbers up to 76700 share no factor with it.
- 4
The digits of 76700 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76700 = 2^{2} \times 5^{2} \times 13 \times 59 \]76700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 182280 |
| Euler totient φ(n) | 27840 |
| Square | 5882890000 |
| Cube | 451217663000000 |
| Square root | 276.947648 (= 10√767) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.67 × |
76700 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred |
| Binary (base 2) | 10010101110011100 |
| Octal (base 8) | 225634 |
| Hexadecimal (base 16) | 12B9C |
| Base 3 | 10220012202 |
| As time | 76700 seconds = 21 h 18 min 20 s |
Is 76700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76700 ÷ 2 = 38350) | 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 (76700 ÷ 4 = 19175) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76700 ÷ 5 = 15340) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76700 ÷ 10 = 7670) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 76700 a prime number?
No. 76700 = × × 13 × 59, so it is divisible by 2.
What are the factors of 76700?
1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 59, 65, 100, 118, 130, 236, 260, 295, 325, 590, 650, 767, 1180, 1300, 1475, 1534, 2950, 3068, 3835, 5900, 7670, 15340, 19175, 38350, 76700.
What is 76700 in binary?
10010101110011100 (hexadecimal 12B9C, octal 225634).
What is the square root of 76700?
About 276.9476, exactly 10√767.
Is 76700 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 76700?
76700 is a Harshad number: divisible by its digit sum 20.