The number 73977
73977 is a composite number with 4 divisors. Its prime factorisation is 3 × 24659. Divisors (4): 1, 3, 24659, 73977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73977: a semiprime: 3 × 24659, the product of two primes.
- 2
73977 is composite. Its prime factorisation is
- 3
The divisors add up to 98640; without 73977 itself that is 24663, so 73977 is deficient (24663 is less than 73977). Euler's totient φ(73977) = 49316 numbers up to 73977 share no factor with it.
- 4
The digits of 73977 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73977 = 3 \times 24659 \]
73977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 98640 |
| Euler totient φ(n) | 49316 |
| Square | 5472596529 |
| Cube | 404846273425833 |
| Square root | 271.987132 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3977 × |
73977 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and seventy-seven |
| Binary (base 2) | 10010000011111001 |
| Octal (base 8) | 220371 |
| Hexadecimal (base 16) | 120F9 |
| Base 3 | 10202110220 |
| As time | 73977 seconds = 20 h 32 min 57 s |
Is 73977 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73977 ÷ 3 = 24659) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73977 a prime number?
No. 73977 = 3 × 24659, so it is divisible by 3.
What are the factors of 73977?
1, 3, 24659, 73977.
What is 73977 in binary?
10010000011111001 (hexadecimal 120F9, octal 220371).
What is the square root of 73977?
About 271.9871.
Is 73977 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 73977?
73977 is a semiprime: 3 × 24659, the product of two primes.